Take-home_Ex2: Applied Spatial Interaction Models- A case study of Singapore public bus commuter flows

Author

NeoYX

Published

December 7, 2023

Modified

December 14, 2023

Setting the Scene

The challenges in urban mobility confront transport operators and city managers. Traditional methods like commuter surveys, despite being costly and time-consuming, have been used to address these questions. However, the delays in cleaning and analyzing survey data often render it outdated by the time reports are ready. The digitization of city-wide infrastructures offers a solution by using data from digital platforms such as GPS and SMART cards.

Currently, although there are a large amount of open data available for public consumption, there are not much research to make use of these data and lack of practical research (using Geospatial Data Science and Analysis) to support policy making decisions.

Objective

Our task for this take-home exercise is to conduct a case study to demonstrate the potential value of GDSA to integrate publicly available data from multiple sources for building a spatial interaction models to determine factors affecting urban mobility patterns of public bus transit.

The Data

Open Government Data

For the purpose of this assignment, data from several open government sources will be used:

  • Passenger Volume by Origin Destination Bus Stops, Bus Stop Location, Train Station (Feb 2023) and Train Station Exit Point (Aug 2023), just to name a few of them, from LTA DataMall.

  • Master Plan 2019 Subzone Boundary, HDB Property Information, School Directory and Information and other relevant data from Data.gov.sg.

Specially collected data

  • Businesses, retail and services, leisure and recreation, etc geospatial data sets assemble by course instructor.

The Task

The specific tasks of this take-home exercise are as follows:

Geospatial Data Science

  • Derive an analytical hexagon data of 375m (this distance is the perpendicular distance between the centre of the hexagon and its edges) to represent the traffic analysis zone (TAZ).

  • With reference to the time intervals provided in the table below, construct an O-D matrix of commuter flows for ONE time interval of our choice by integrating Passenger Volume by Origin Destination Bus Stops and Bus Stop Location from LTA DataMall. The O-D matrix must be aggregated at the analytics hexagon level. I have selected the Weekday Morning Peak for this take home exercise.

    Peak hour period Bus tap on time
    Weekday morning peak (selected) 6am to 9am
    Weekday afternoon peak 5pm to 8pm
    Weekend/holiday morning peak 11am to 2pm
    Weekend/holiday evening peak 4pm to 7pm
  • Display the O-D flows of the passenger trips by using appropriate geovisualisation methods (not more than 5 maps).

  • Describe the spatial patterns revealed by the geovisualisation (not more than 100 words per visual).

  • Assemble at least three propulsive and three attractiveness variables by using aspatial and geospatial from publicly available sources.

  • Compute a distance matrix by using the analytical hexagon data derived earlier.

Spatial Interaction Modelling

  • Calibrate spatial interactive models to determine factors affecting urban commuting flows at the selected time interval.

  • Present the modelling results by using appropriate geovisualisation and graphical visualisation methods. (Not more than 5 visuals)

  • With reference to the Spatial Interaction Model output tables, maps and data visualisation prepared, describe the modelling results. (not more than 100 words per visual).

Getting Started

In this exercise, the following libraries will be used:

  1. sf package to perform geoprocessing tasks

  2. sp package , although an older package, is more efficient for computation of large data.

  3. sfdep package which builds upon spdep package (compute spatial weights matrix and spatially lagged variable for instance..)

  4. tmap to create geovisualisations

  5. stplanr for solving common problems in transport planning and modelling, such as how to best get from point A to point B

  6. tidyverse that supports data science, analysis and communication task including creating static statistical graphs.

  7. knitr to create html tables

  8. DT library to create interactive html tables

  9. ggpubr for some easy-to-use functions for creating and customizing ‘ggplot2’- based publication ready plots.

  10. performance for for computing measures to assess model quality, which are not directly provided by R’s ‘base’ or ‘stats’ packages. The primary goal of the performance package is to provide utilities for computing indices of model quality and goodness of fit. These include measures like r-squared (R2), root mean squared error (RMSE)

  11. reshape2is an old tool from base R. It handles matrix well for our distance matrix, like pivoting function like melt(). Tidyverse does not handle matrix very well.

  12. ggplot2 to plot graphs

  13. plotly to plot interactive graphs

pacman::p_load(sf, sp, sfdep, tmap, stplanr, tidyverse, skimr, knitr, DT, performance, reshape2, ggpubr, ggplot2, plotly, h3jsr)

Importing Data

Aspatial data

Import the Passenger volume by Origin Destination Bus Stops dataset downloaded from the LTA Datamall by using the read_csv() of the readr package.

odbus_aug <- read_csv("data/aspatial/origin_destination_bus_202308.csv")

Check the data fields

glimpse(odbus_aug)
Rows: 5,709,512
Columns: 7
$ YEAR_MONTH          <chr> "2023-08", "2023-08", "2023-08", "2023-08", "2023-…
$ DAY_TYPE            <chr> "WEEKDAY", "WEEKENDS/HOLIDAY", "WEEKENDS/HOLIDAY",…
$ TIME_PER_HOUR       <dbl> 16, 16, 14, 14, 17, 17, 17, 17, 7, 17, 14, 10, 10,…
$ PT_TYPE             <chr> "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "…
$ ORIGIN_PT_CODE      <chr> "04168", "04168", "80119", "80119", "44069", "4406…
$ DESTINATION_PT_CODE <chr> "10051", "10051", "90079", "90079", "17229", "1722…
$ TOTAL_TRIPS         <dbl> 7, 2, 3, 10, 5, 4, 3, 22, 3, 3, 7, 1, 3, 1, 3, 1, …

Processing the aspatial OD data

The ‘ORIGIN_PT_CODE’ and ‘DESTINATION_PT_CODE’ field is in character field. We will convert it to factor data type.

odbus_aug$ORIGIN_PT_CODE <- as.factor(odbus_aug$ORIGIN_PT_CODE)
odbus_aug$DESTINATION_PT_CODE <- as.factor(odbus_aug$DESTINATION_PT_CODE)

The function below will extract origin data based on the four time intervals required by the task. The expected arguments are

  1. daytype: ‘WEEKDAY’ or ‘WEEKENDS/HOLIDAY’
  2. timeinterval: c(6,8) if we want data from 6am to 9am.

The function will also compute the sum of all trips by ‘ORIGIN_PT_CODE’ for each time interval and stored under a new field called ‘TRIPS’.

get_origin_dest <- function(daytype, timeinterval) {
  result <- odbus_aug %>%
    filter(DAY_TYPE == daytype) %>%
    filter(TIME_PER_HOUR >= timeinterval[1] & TIME_PER_HOUR <= timeinterval[2]) %>%
    group_by(ORIGIN_PT_CODE,
             DESTINATION_PT_CODE) %>%
    summarise(TRIPS = sum(TOTAL_TRIPS))
  
  return(result)
}

Let’s get the data using get_origin function

day_am <- get_origin_dest('WEEKDAY', c(6, 8))
#origin_day_pm <- get_origin('WEEKDAY', c(5, 7))
#origin_end_am <- get_origin('WEEKENDS/HOLIDAY', c(11, 13))
#origin_end_pm <- get_origin('WEEKENDS/HOLIDAY', c(4, 6))

Take a look at the weekday morning peak dataframe.

datatable(day_am,
          class = 'cell-border stripe',
          options = list(pageLength = 5))

Geospatial data

First, we will import the Bus Stop Location shapefiles into R. The output will be a sf point object with 5161 points and 3 fields. As the raw data is in WSG84 geographical coordinate system, we will convert it to EPSG 3414, the projected coordinate system for Singapore.

busstop <- st_read(dsn="data/geospatial/BusStopLocation/BusStopLocation_Jul2023", layer = "BusStop") %>% 
  st_transform(crs = 3414)
Reading layer `BusStop' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial\BusStopLocation\BusStopLocation_Jul2023' 
  using driver `ESRI Shapefile'
Simple feature collection with 5161 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21
busstop
Simple feature collection with 5161 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21 / Singapore TM
First 10 features:
   BUS_STOP_N BUS_ROOF_N             LOC_DESC                  geometry
1       22069        B06   OPP CEVA LOGISTICS POINT (13576.31 32883.65)
2       32071        B23         AFT TRACK 13 POINT (13228.59 44206.38)
3       44331        B01              BLK 239  POINT (21045.1 40242.08)
4       96081        B05 GRACE INDEPENDENT CH POINT (41603.76 35413.11)
5       11561        B05              BLK 166 POINT (24568.74 30391.85)
6       66191        B03         AFT CORFE PL POINT (30951.58 38079.61)
7       23389       B02A              PEC LTD   POINT (12476.9 32211.6)
8       54411        B02              BLK 527 POINT (30329.45 39373.92)
9       28531        B09              BLK 536 POINT (14993.31 36905.61)
10      96139        B01              BLK 148  POINT (41642.81 36513.9)

Are there any duplicates in ‘BUS_STOP_N’ in busstop?

Checking for duplicates in the ‘BUS_STOP_N’ field reveals that there are about 16 repeated bus stop numbers. Note that they have different geometry points in the simple feature busstop object above. These could be due to temprorary bus stops . We should remove these duplicated bus stops number or else it will give us problems when we try to map these bus stops to a grid_id in the Traffic Analysis Zone (TAZ).

busstop %>% 
  st_drop_geometry() %>% 
  group_by(BUS_STOP_N) %>%
  filter(n()>1) %>%
  ungroup() %>% 
  arrange(BUS_STOP_N)
# A tibble: 32 × 3
   BUS_STOP_N BUS_ROOF_N LOC_DESC            
   <chr>      <chr>      <chr>               
 1 11009      B04        Ghim Moh Ter        
 2 11009      B04-TMNL   GHIM MOH TER        
 3 22501      B02        Blk 662A            
 4 22501      B02        BLK 662A            
 5 43709      B06        BLK 644             
 6 43709      B06        BLK 644             
 7 47201      UNK        <NA>                
 8 47201      NIL        W'LANDS NTH STN     
 9 51071      B21        MACRITCHIE RESERVOIR
10 51071      B21        MACRITCHIE RESERVOIR
# ℹ 22 more rows

Take for instance bus stop number 51071 with two different point geometry values.

busstop[3470,]
Simple feature collection with 1 feature and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 28311.27 ymin: 36036.92 xmax: 28311.27 ymax: 36036.92
Projected CRS: SVY21 / Singapore TM
     BUS_STOP_N BUS_ROOF_N             LOC_DESC                  geometry
3470      51071        B21 MACRITCHIE RESERVOIR POINT (28311.27 36036.92)
busstop[3472,]
Simple feature collection with 1 feature and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 28282.54 ymin: 36033.93 xmax: 28282.54 ymax: 36033.93
Projected CRS: SVY21 / Singapore TM
     BUS_STOP_N BUS_ROOF_N             LOC_DESC                  geometry
3472      51071        B21 MACRITCHIE RESERVOIR POINT (28282.54 36033.93)

Removing duplicated bus stops

busstop <- busstop %>%
  distinct(BUS_STOP_N,
           .keep_all = TRUE)

Double check again that duplicated bus stops have been removed.

busstop %>% 
  st_drop_geometry() %>% 
  group_by(BUS_STOP_N) %>%
  filter(n()>1) %>%
  ungroup() %>% 
  arrange(BUS_STOP_N)
# A tibble: 0 × 3
# ℹ 3 variables: BUS_STOP_N <chr>, BUS_ROOF_N <chr>, LOC_DESC <chr>

Import the MPSZ-2019 data.

It is a multipolygon sf object with 332 features / subzones/ units.

mpsz <- st_read(dsn='data/geospatial/MPSZ-2019',
                layer='MPSZ-2019') %>% 
  st_transform(crs=3414)
Reading layer `MPSZ-2019' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial\MPSZ-2019' 
  using driver `ESRI Shapefile'
Simple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension:     XY
Bounding box:  xmin: 103.6057 ymin: 1.158699 xmax: 104.0885 ymax: 1.470775
Geodetic CRS:  WGS 84
mpsz
Simple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension:     XY
Bounding box:  xmin: 2667.538 ymin: 15748.72 xmax: 56396.44 ymax: 50256.33
Projected CRS: SVY21 / Singapore TM
First 10 features:
                 SUBZONE_N SUBZONE_C       PLN_AREA_N PLN_AREA_C       REGION_N
1              MARINA EAST    MESZ01      MARINA EAST         ME CENTRAL REGION
2         INSTITUTION HILL    RVSZ05     RIVER VALLEY         RV CENTRAL REGION
3           ROBERTSON QUAY    SRSZ01  SINGAPORE RIVER         SR CENTRAL REGION
4  JURONG ISLAND AND BUKOM    WISZ01  WESTERN ISLANDS         WI    WEST REGION
5             FORT CANNING    MUSZ02           MUSEUM         MU CENTRAL REGION
6         MARINA EAST (MP)    MPSZ05    MARINE PARADE         MP CENTRAL REGION
7                   SUDONG    WISZ03  WESTERN ISLANDS         WI    WEST REGION
8                  SEMAKAU    WISZ02  WESTERN ISLANDS         WI    WEST REGION
9           SOUTHERN GROUP    SISZ02 SOUTHERN ISLANDS         SI CENTRAL REGION
10                 SENTOSA    SISZ01 SOUTHERN ISLANDS         SI CENTRAL REGION
   REGION_C                       geometry
1        CR MULTIPOLYGON (((33222.98 29...
2        CR MULTIPOLYGON (((28481.45 30...
3        CR MULTIPOLYGON (((28087.34 30...
4        WR MULTIPOLYGON (((14557.7 304...
5        CR MULTIPOLYGON (((29542.53 31...
6        CR MULTIPOLYGON (((35279.55 30...
7        WR MULTIPOLYGON (((15772.59 21...
8        WR MULTIPOLYGON (((19843.41 21...
9        CR MULTIPOLYGON (((30870.53 22...
10       CR MULTIPOLYGON (((26879.04 26...

Creating hexagon layer

Before we can plot the base layer, we have to create hexagonal grids of 375 m (middle to edge) using the mpsz multipolygon sf object using sf.

First , create a grid which the extent equals to the bounding box of the busstop points using st_make_grid().

  1. To create hexagons of 375m (centre to edge), we should input 750 for ‘cellsize’ parameter. ‘Cellsize’ is defined as the distance from edge to edge.
  2. Convert to sf object and add a unique identifier to each hexagon grid. The output has 834 hexagon units.
  3. Use st_intersects() to count the number of in each hsubzones in each hexagon.
  4. Filter to retain only hexagons with at least one subzone. The output bs_count has 1945 hexagon units.
area_hex_grid = st_make_grid(busstop,
                             cellsize= 750, 
                             what = "polygons", 
                             square = FALSE)

hex_grid_sf = st_sf(area_hex_grid) %>%
  mutate(grid_id = 1:length(lengths(area_hex_grid)))

hex_grid_sf$num_bs = lengths(st_intersects(hex_grid_sf, busstop))


bs_count = filter(hex_grid_sf, num_bs > 0)

If we like to, we could save the above hexagon layer to disk.

st_write(bs_count, 'data/bs_count_750.shp')

Read bs_count in R

bs_count <- st_read(dsn = 'data/geospatial',
                    layer='bs_count_750')
Reading layer `bs_count_750' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 834 features and 2 fields
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 3595.122 ymin: 26049.09 xmax: 48595.12 ymax: 53545.39
Projected CRS: SVY21 / Singapore TM

How does our hexagon layer look like?

plot(bs_count['num_bs'],
     main = 'Number of bus stops per hexagon')

We can see that each hexagon contains a minimum of 1 bus stop and up to a maximum of 19 bus stops.

Geospatial data wrangling

Combining busstop (point sf) and sz_count (polygon sf)

We have to assign a ‘grid_id’ to each bus stops.

The code chunk below performs points and hexagon polygon overlap using st_intersection() and the output will be in sf point object.

Before overlapping:

busstop : 5145 points

bs_count hexagon base layer: 834 hexagons

After overlapping:

busstop_hex : 5145 points suggesting all bus stops falls within at least one hexagon grid. This is good result because we are not losing any bus stops.

busstop_hex <- st_intersection(busstop, bs_count) %>% 
  select(BUS_STOP_N, LOC_DESC,  grid_id, num_bs)

busstop_hex
Simple feature collection with 5145 features and 4 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21 / Singapore TM
First 10 features:
     BUS_STOP_N            LOC_DESC grid_id num_bs                  geometry
3261      25059   AFT TUAS STH BLVD      23      1 POINT (3970.122 28063.28)
2565      25751 BEF TUAS STH AVE 14      44      1 POINT (4427.939 28758.67)
254       26379            YONG NAM      46      2 POINT (4473.292 30681.57)
2398      26369        SEE HUP SENG      46      2 POINT (4604.363 31212.96)
2824      25741         HALLIBURTON      66      1  POINT (5060.733 29212.4)
1714      26399  AFT TUAS VIEW CRES      67      4  POINT (5079.51 30214.42)
2822      25719           THE INDEX      67      4 POINT (4799.476 30158.46)
2823      25711       OPP THE INDEX      67      4 POINT (4831.438 30132.43)
4189      26389  BEF TUAS STH AVE 5      67      4 POINT (4776.694 30324.88)
1564      26299  BEF TUAS STH AVE 6      68      1 POINT (4879.489 31948.93)

Drop the geometry column of busstop_hex.

busstop_hex_geo <- busstop_hex
busstop_hex <- busstop_hex  %>% 
  st_drop_geometry()

datatable(busstop_hex, class = 'cell-border stripe', options = list(pageLength = 5))

Are there duplicates in busstop_hex ?

Let us check for duplicates in busstop_hex df as it will be used to perform a left join later.

The output shows that there are no duplicate rows.

busstop_hex %>%
  group_by(BUS_STOP_N, grid_id, num_bs) %>%
  filter(n()>1) %>%
  ungroup()
# A tibble: 0 × 4
# ℹ 4 variables: BUS_STOP_N <chr>, LOC_DESC <chr>, grid_id <int>, num_bs <int>

Construct an O-D matrix of commuter flows for the morning weekday peak hour

This is how a typical Origin-Destination flow table would look like:

It contains the number of trips between pairs of origin and destination hexagons.

To get the table above, perform left join between day_am and busstop_hex df twice.

First, we append the grid_id from busstop_hex data frame onto day_am data frame. By doing so, we get the fields ‘ORIGIN_GRID_ID’ and ‘ORIGIN_LOC_DESC’ (for tooltip later)from busstop_hex into day_am.

Before join:

day_am : 224,363 rows

After join:

od_data: 224,363 rows

od_data <- left_join(day_am , busstop_hex,
            by = c("ORIGIN_PT_CODE" = "BUS_STOP_N")) %>%
  rename(ORIGIN_BS = ORIGIN_PT_CODE,
         ORIGIN_GRID_ID = grid_id,
         DESTIN_BS = DESTINATION_PT_CODE,
         ORIGIN_LOC_DESC= LOC_DESC)

Check for duplicate before proceeding. There are no duplicates.

duplicate <- od_data %>%
  group_by_all() %>% 
  #group_by(ORIGIN_BS, DESTIN_BS) %>%
  filter(n()>1) %>%
  ungroup()

duplicate
# A tibble: 0 × 6
# ℹ 6 variables: ORIGIN_BS <chr>, DESTIN_BS <fct>, TRIPS <dbl>,
#   ORIGIN_LOC_DESC <chr>, ORIGIN_GRID_ID <int>, num_bs <int>

Next, perform another left join between day_am and busstop_hex df to get the ‘DESTIN_GRID_ID’ and the ‘DESTIN_LOC_DESC’ into day_am df. The number of rows before and after the left joins are the same.

od_data <- left_join(od_data, busstop_hex,
            by = c("DESTIN_BS" = "BUS_STOP_N")) %>%
  rename(DESTIN_GRID_ID = grid_id,
         DESTIN_LOC_DESC= LOC_DESC,
         num_bs_origin = num_bs.x,
         num_bs_destin = num_bs.y) 

Check for duplicates. The output shows that there are no duplicates.

duplicate <- od_data %>%
  group_by_all() %>% 
  #group_by(ORIGIN_BS, DESTIN_BS) %>%
  filter(n()>1) %>%
  ungroup()

duplicate
# A tibble: 0 × 9
# ℹ 9 variables: ORIGIN_BS <chr>, DESTIN_BS <chr>, TRIPS <dbl>,
#   ORIGIN_LOC_DESC <chr>, ORIGIN_GRID_ID <int>, num_bs_origin <int>,
#   DESTIN_LOC_DESC <chr>, DESTIN_GRID_ID <int>, num_bs_destin <int>

Final clean-up of od_data df.

The code chunk below will do the following:

  1. There are missing grid_ids for some of the origin and destination bus stop because the Bus Stops Location data uploaded by LTA in July 2023 could be more outdated than Passenger Volume by Origin Destination Bus Stops data collected in August 2023. We will drop rows with missing values.

  2. Group-by ‘ORIGIN_GRID_ID’ and ‘DESTIN_GRID_ID’ to generate a new field ‘MORNING_PEAK’ that contains the summation of all trips between each pair of i,j hexagons. (i denotes origin and j denotes destination)

od_data <- od_data %>%
  drop_na() %>%
  group_by(ORIGIN_GRID_ID, DESTIN_GRID_ID) %>%
  summarise(MORNING_PEAK = sum(TRIPS),
            ORIGIN_DESC = paste(unique(ORIGIN_LOC_DESC), collapse = ', '),
            DESTIN_DESC = paste(unique(DESTIN_LOC_DESC), collapse = ', ')) %>% 
  ungroup()
ORIGIN_GRID_ID DESTIN_GRID_ID MORNING_PEAK ORIGIN_DESC DESTIN_DESC
23 67 1 AFT TUAS STH BLVD THE INDEX
23 88 2 AFT TUAS STH BLVD EDGEN MURRAY
23 128 2 AFT TUAS STH BLVD AFT TUAS STH ST 7

We will not be visualising the flows at this point in time because we would like to get ‘dist’ between each hexagon for clearer visuslisation later.

Compute Distance Matrix by analytic hexagon level

First as.Spatial() will be used to convert bs_count from sf tibble data frame to SpatialPolygonsDataFrame of sp object as shown in the code chunk below. The reason for doing so is because it is faster to compute distance matrix using sp than sf package.

bs_count_sp <- as(bs_count, "Spatial")

Next, spDists() of sp package will be used to compute the Euclidean distance between the centroids of the hexagons.

spDists(x, y = x, longlat = FALSE, segments = FALSE, diagonal = FALSE)

spDists returns a full matrix of distances in the metric of the points if longlat=FALSE, or in kilometers if longlat=TRUE; it uses spDistsN1 in case points are two-dimensional. In case of spDists(x,x), it will compute all n x n distances, not the sufficient n x (n-1).

Recall that bs_count contains 834 hexagons and a 834 x 834 distance matrix dist will be created.

We will print out the first 7 rows of the distance matrix. Notice the column and row headers are not labelled by grid_id.

dist <- sp::spDists(bs_count_sp, 
                longlat = FALSE) # already projected in EPSG:3414
head(dist, n=c(7, 7))
         [,1]     [,2]     [,3]     [,4]     [,5]     [,6]     [,7]
[1,]    0.000  750.000 3269.174 1500.000 2704.163 3968.627 1299.038
[2,]  750.000    0.000 2598.076  750.000 1984.313 3269.174  750.000
[3,] 3269.174 2598.076    0.000 1984.313  750.000  750.000 2704.163
[4,] 1500.000  750.000 1984.313    0.000 1299.038 2598.076  750.000
[5,] 2704.163 1984.313  750.000 1299.038    0.000 1299.038 1984.313
[6,] 3968.627 3269.174  750.000 2598.076 1299.038    0.000 3269.174
[7,] 1299.038  750.000 2704.163  750.000 1984.313 3269.174    0.000

Labelling column and row headers of a distance matrix

First, we will create a list sorted according to the the distance matrix by grid_id.

Next we will attach grid_id to row and column for distance matrix matching ahead

grid_id_names <- bs_count$grid_id

colnames(dist) <- paste0(grid_id_names)
rownames(dist) <- paste0(grid_id_names)
dist[1:5,1:5]
         23       44       46       66       67
23    0.000  750.000 3269.174 1500.000 2704.163
44  750.000    0.000 2598.076  750.000 1984.313
46 3269.174 2598.076    0.000 1984.313  750.000
66 1500.000  750.000 1984.313    0.000 1299.038
67 2704.163 1984.313  750.000 1299.038    0.000

Pivoting distancing value by grid_id

Next, we will pivot the distance matrix into a long table by using the row and column grid_id as show in the code chunk below.

We will use the melt() function of the reshape2 package to convert wide-format data to long-format data. This function will convert wide-format data to a data frame with columns for each combination of row and column indices and their corresponding values.

To do the opposite, used cast().

matrix(1:6, nrow = 2, ncol = 3)
     [,1] [,2] [,3]
[1,]    1    3    5
[2,]    2    4    6
reshape2::melt(matrix(1:6, nrow = 2, ncol = 3)) %>% knitr::kable()
Var1 Var2 value
1 1 1
2 1 2
1 2 3
2 2 4
1 3 5
2 3 6
distPair <- reshape2::melt(dist) %>%
  rename(dist = value)
head(distPair, 10)
   Var1 Var2     dist
1    23   23    0.000
2    44   23  750.000
3    46   23 3269.174
4    66   23 1500.000
5    67   23 2704.163
6    68   23 3968.627
7    86   23 1299.038
8    87   23 2250.000
9    88   23 3436.932
10   89   23 4683.748

There are 695,556 rows in distPair due to 834P2 + 834 = 834 * 833+ 834 possible pairs of hexagon pairs. (Aka the number of possible permutations with replacement)

Three new columns generated, (1) ‘var1’, (2) ‘var2’ and (3) ‘value’ containing the distance for the corresponding hex i -hex j pair; thus rename to ‘dist’

Updating the intra-zonal distances

We will append a constant value to replace the intra-zonal distance of 0.

First, we will remove distance = 0 and find out the minimum value of the inter-zonal distance by using summary().

distPair %>%
  filter(dist > 0) %>%
  summary()
      Var1           Var2           dist      
 Min.   :  23   Min.   :  23   Min.   :  750  
 1st Qu.: 871   1st Qu.: 871   1st Qu.: 8352  
 Median :1324   Median :1324   Median :13332  
 Mean   :1269   Mean   :1269   Mean   :14162  
 3rd Qu.:1688   3rd Qu.:1688   3rd Qu.:18929  
 Max.   :2505   Max.   :2505   Max.   :44680  

The minimum inter-hexagon travel was actually 750 m (indicating travelling to adjacent hexagon). If a hexagon’s apothem is 325m (middle to edge), then the length of its long diagonal will be 750m (vertex to opposite vertex).

So we could set the intra-zonal distance to be approximately 300 m.

distPair$dist <- ifelse(distPair$dist == 0,
                        300, distPair$dist)

The code chunk below is used to rename the origin and destination fields.

distPair <- distPair %>%
  rename(ORIGIN_GRID_ID = Var1,
         DESTIN_GRID_ID = Var2)

distPair %>% head()
  ORIGIN_GRID_ID DESTIN_GRID_ID     dist
1             23             23  300.000
2             44             23  750.000
3             46             23 3269.174
4             66             23 1500.000
5             67             23 2704.163
6             68             23 3968.627
glimpse(distPair)
Rows: 695,556
Columns: 3
$ ORIGIN_GRID_ID <int> 23, 44, 46, 66, 67, 68, 86, 87, 88, 89, 90, 109, 110, 1…
$ DESTIN_GRID_ID <int> 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23,…
$ dist           <dbl> 300.000, 750.000, 3269.174, 1500.000, 2704.163, 3968.62…

Preparing flow data

In this section, our desired output is a dataframe containing number of TRIPS and distance for each origin and destination grid id.

Let us rename the od_data to call it flow_data df.

flow_data <- od_data %>%
  group_by(ORIGIN_GRID_ID, DESTIN_GRID_ID) %>% 
  summarize(TRIPS = sum(MORNING_PEAK)) 

head(flow_data) %>%  kable()
ORIGIN_GRID_ID DESTIN_GRID_ID TRIPS
23 67 1
23 88 2
23 128 2
23 150 1
23 154 2
23 175 53

Separating intra-flow from flow_data df

The code chunk below created two new fields

‘FlowNoIntra’ is a column containing distance = 0 for intra-zonal pairs (diagonals).

‘offset’ is also created.

flow_data$FlowNoIntra <- ifelse(
  flow_data$ORIGIN_GRID_ID == flow_data$DESTIN_GRID_ID, 
  0, flow_data$TRIPS)
flow_data$offset <- ifelse(
  flow_data$ORIGIN_GRID_ID == flow_data$DESTIN_GRID_ID, 
  0.000001, 1)

Filter to keep only inter-zonal trips, removing the intra-zonal trips. After filtering, the number of rows reduced from 62, 741 to 62,120 rows.

inter_zonal_flow <- flow_data %>% 
  filter(FlowNoIntra >0)
glimpse(inter_zonal_flow)
Rows: 62,120
Columns: 5
Groups: ORIGIN_GRID_ID [817]
$ ORIGIN_GRID_ID <int> 23, 23, 23, 23, 23, 23, 44, 44, 44, 46, 46, 46, 46, 46,…
$ DESTIN_GRID_ID <int> 67, 88, 128, 150, 154, 175, 88, 154, 175, 67, 111, 131,…
$ TRIPS          <dbl> 1, 2, 2, 1, 2, 53, 11, 3, 29, 3, 1, 1, 1, 52, 22, 9, 17…
$ FlowNoIntra    <dbl> 1, 2, 2, 1, 2, 53, 11, 3, 29, 3, 1, 1, 1, 52, 22, 9, 17…
$ offset         <dbl> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…

Combining passenger volume data (inter-zone) with distance value

Before we can join inter_zonal_flow and distPair, we need to convert data value type of ‘ORIGIN_SZ’ and’DESTIN_SZ’ fields of inter_zonal_flow and distPair dataframes into factor data type.

inter_zonal_flow$ORIGIN_GRID_ID  <- as.factor(inter_zonal_flow$ORIGIN_GRID_ID)
inter_zonal_flow$DESTIN_GRID_ID  <- as.factor(inter_zonal_flow$DESTIN_GRID_ID )
distPair$ORIGIN_GRID_ID  <- as.factor(distPair$ORIGIN_GRID_ID)
distPair$DESTIN_GRID_ID  <- as.factor(distPair$DESTIN_GRID_ID )

Now, left_join() of dplyr will be used to inter_zonal_flow dataframe and distPair dataframe. The output is called flow_data1.

Note

Notes:

distPair is a df containing distances for all corresponding subzone pairs (including self, default to 50m). ‘ORIGIN_GRID_ID’, ‘DESTIN_GRID_ID’, ‘dist

inter_zonal_flow is a df containing ‘ORIGIN_GRID_ID’, ‘DESTIN_GRID_ID’ and ‘TRIPS

We will now perform a left join with two sets of join keys.

The output flow_data_1 contains distance and total morning peak trips for each possible pairs of grid-ids (self included).

Before left join:

inter_zonal_flow has 62,741 rows.

distPair has 695,556 rows (is the all possible pairs out of 834 hex grid_ids, order matters and with replacement.)

After join:

flow_data1 has 62,741 rows.

inter_zonal_flow has no distance data. flow_data1 has distance data.

flow_data1 <- inter_zonal_flow %>%
  left_join (distPair,
             by = c("ORIGIN_GRID_ID" = "ORIGIN_GRID_ID",
                    "DESTIN_GRID_ID" = "DESTIN_GRID_ID"))

glimpse(flow_data1)
Rows: 62,120
Columns: 6
Groups: ORIGIN_GRID_ID [817]
$ ORIGIN_GRID_ID <fct> 23, 23, 23, 23, 23, 23, 44, 44, 44, 46, 46, 46, 46, 46,…
$ DESTIN_GRID_ID <fct> 67, 88, 128, 150, 154, 175, 88, 154, 175, 67, 111, 131,…
$ TRIPS          <dbl> 1, 2, 2, 1, 2, 53, 11, 3, 29, 3, 1, 1, 1, 52, 22, 9, 17…
$ FlowNoIntra    <dbl> 1, 2, 2, 1, 2, 53, 11, 3, 29, 3, 1, 1, 1, 52, 22, 9, 17…
$ offset         <dbl> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…
$ dist           <dbl> 2704.163, 3436.932, 1984.313, 2598.076, 6873.864, 7611.…

Print out the first 6 rows

head(flow_data1) %>% knitr::kable()
ORIGIN_GRID_ID DESTIN_GRID_ID TRIPS FlowNoIntra offset dist
23 67 1 1 1 2704.163
23 88 2 2 1 3436.932
23 128 2 2 1 1984.313
23 150 1 1 1 2598.076
23 154 2 2 1 6873.864
23 175 53 53 1 7611.669

Visualising the O-D flows of the weekday morning peak period

Removing intra-zonal flows

We will not plot the intra-zonal flows. The code chunk below will be used to remove intra-zonal flows. It does so by removing the flows that originate and ends in the same subzone.

Rows reduced from 62,685 to 62,079.

od_data1 <- od_data[od_data$ORIGIN_GRID_ID!=od_data$DESTIN_GRID_ID,]

Create a flowLine simple feature line object.

In this code chunk below, od2line() of stplanr package is used to create the desired lines.

od_data1 is aspatial while bs_count is geospatial data.

flowLine <- od2line(flow=flow_data1,
                    zones= bs_count,
                    zone_code= 'grid_id')

Perform a left join with od_data1 to get 'ORIGIN_DESC' and 'DESTIN_DESC' information appended into flowLine df. It will be useful for tooltip later when exploring our maps.

od_data1$ORIGIN_GRID_ID <- as.factor(od_data1$ORIGIN_GRID_ID)
od_data1$DESTIN_GRID_ID <- as.factor(od_data1$DESTIN_GRID_ID)

flowLine <- left_join(flowLine, od_data1,
                      by = c('ORIGIN_GRID_ID' = 'ORIGIN_GRID_ID',
                             'DESTIN_GRID_ID' = 'DESTIN_GRID_ID')) %>% 
  select(-c(MORNING_PEAK))

We will save flowLine to local disk

write_rds(flowLine,
          "data/rds/flowLine.rds")

Reload flowLine into R.

flowLine <- read_rds("data/rds/flowLine.rds")

flowLine contains 62,120 rows but we will only print out trips >= 5,000 in the datatable below.

datatable(flowLine %>%
            select(-c(FlowNoIntra, offset)) %>% 
            filter(TRIPS>=5000), 
          class = 'cell-border stripe', 
          options = list(pageLength = 5))

Visualisation and Discussion (in Tabset)

In this map, we have filtered trips less than 5000 to make it more manageable to analyse. Thicker line width represents more trips and the length of the lines represents the distance of each inter-hexagonal trip.

We observed that there are some bus routes that carry more passengers. Thick bands appeared at Woodlands Checkpoint area and Boon Lay area. Some routes from North to Eastern Singapore are also longer than usual.

In the next few tabs, we will perform further filtering on ‘TRIPS’ and ‘dist’ and plot interactive maps for us to get the trips details.

Show the code
tmap_mode('plot')

filtered_flowLine <- flowLine %>%
  filter(TRIPS >= 5000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

tm_shape(mpsz) +
  tm_polygons(alpha=0.3)+
              #col='black') +
#tm_shape(bs_count_filtered) +
  #tm_polygons(alpha=0.3) +
  
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(lwd = 'TRIPS',
           style = 'quantile',
           scale= c(1, 3, 9, 15, 21, 30),
           #scale= c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha= 0.3,
           col='blue') +
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'O-D Flow On Weekday Morning Peak hour' ,
            main.title.position = "center",
            main.title.size = 2.0,
            main.title.fontface = 'bold') +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

In this interactive map, we have filtered and retained the trips >= 15,000, irregardless of the distance of the trip.

Map Tips: Click on the flowline of your interest, it will reveal the number of trips, origin bus stop descriptions and destination bus stop descriptions.

Findings:

1) The flows with the greatest volumes were located near the Woodlands Check Point area that transported commuters across the causeway.

2) Great volumes of flows were associated with destinations at bus or train stations, suggesting that passengers take bus for further transit. This gives us a hint that presence of bus interchange / train stations could be an important explanatory factors for ‘TRIPS’ in our Spatial Interaction Model later.

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine %>%
  filter(TRIPS >= 15000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))


tm_shape(mpsz) +
  tm_polygons(alpha=0.7,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.4) +
#tm_shape(busstop_hex_geo) +
  #tm_dots(size= 0.005)+
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(lwd = 'TRIPS',
           style = 'quantile',
           scale= c(1, 3, 9, 15, 21, 30),
           #scale= c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha= 0.5,
           popup.vars=c("# Trips:"="TRIPS",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist'),
           col='yellow') +
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'O-D Flow On Weekday Morning Peak hour' ,
            main.title.size = 1.0,
            main.title.fontface = 'bold')

In order to investigate the long distance bus trips with considerable amount of trips volume, we have filtered and retain TRIPS >= 5000 and distance >= 13km. We noticed that these trips tend to connect passengers between the Northern parts of Singapore (Woodlands, Khatib and Yishun for instance) and the Eastern parts of Singapore (Tampanies, Seng Kang and Punggol for instance). Taking a look at the Singapore MRT map, it would require passengers to use at least three different ‘lines’ in order for them to commute between Eastern and Northern Singapore; maybe this is why passengers prefer to take a direct bus instead.

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine %>%
  filter(dist >= 13000,
         TRIPS >= 5000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

tm_shape(mpsz) +
  tm_polygons(alpha=0.7,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.4) +
#tm_shape(busstop_hex_geo) +
  #tm_dots(size= 0.005)+
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(lwd = 'TRIPS',
           style = 'quantile',
           scale= c(1, 3, 9, 15, 21, 30),
           #scale= c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha= 0.5,
           popup.vars=c("# Trips:"="TRIPS",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist'),
           col='yellow') +
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'O-D Flow On Weekday Morning Peak hour' ,
            main.title.size = 1.0,
            main.title.fontface = 'bold')

For our curiosity of the longest bus route, we filter all trips with distances >= 23 km irregardless of trips volume.

Some passengers were willing to take bus between Changi Airport and Woodlands Checkpoint and also between Bedok and Boon Lay.

Zoom in and click on the flowlines for details on trip volume, distance and bus stop details!

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)


filtered_flowLine <- flowLine %>%
  filter(dist >= 23000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

tm_shape(mpsz) +
  tm_polygons(alpha=0.7,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.4) +
#tm_shape(busstop_hex_geo) +
  #tm_dots(size= 0.005)+
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(lwd = 'TRIPS',
           style = 'quantile',
           scale= c(1, 3, 9, 15, 21, 30),
           #scale= c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha= 0.5,
           popup.vars=c("# Trips:"="TRIPS",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist'),
           col='yellow') +
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'O-D Flow On Weekday Morning Peak hour' ,
            main.title.size = 1.0,
            main.title.fontface = 'bold')

Preparing Origin and Destination Attributes

Importing the attractiveness and propulsive geospatial data

Geospatial dataset 1

Train_Station_Exit_Layer shapefile downloaded from LTA data mall. It contains point coordinates of station box exits. The train station exits are potentially one of the attractiveness of destinations as bus passengers could take bus to MRT stations for transfer.

train_exit <- st_read(dsn='data/geospatial',
                  layer='Train_Station_Exit_Layer') %>% 
  st_transform(crs=3414)
Reading layer `Train_Station_Exit_Layer' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 565 features and 2 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 6134.086 ymin: 27499.7 xmax: 45356.36 ymax: 47865.92
Projected CRS: SVY21

The file contains duplicated ‘stn_name’ and ‘exit_code’ fields.

train_exit %>%
  group_by(stn_name, exit_code) %>%
  filter(n()>1) %>%
  ungroup()
Simple feature collection with 17 features and 2 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 18072.23 ymin: 27512.2 xmax: 42314.55 ymax: 40853.37
Projected CRS: SVY21 / Singapore TM
# A tibble: 17 × 3
   stn_name                  exit_code            geometry
   <chr>                     <chr>             <POINT [m]>
 1 BUKIT PANJANG MRT STATION Exit A    (20054.56 40109.33)
 2 CHOA CHU KANG MRT STATION Exit D    (18084.87 40849.96)
 3 HARBOURFRONT MRT STATION  Exit A    (26569.87 27614.83)
 4 EXPO MRT STATION          Exit A    (42314.55 35278.98)
 5 HARBOURFRONT MRT STATION  Exit A     (26797.06 27512.2)
 6 CHOA CHU KANG MRT STATION Exit C    (18117.61 40853.37)
 7 CHOA CHU KANG MRT STATION Exit A    (18121.99 40819.65)
 8 BUKIT PANJANG MRT STATION Exit A    (19795.81 40301.42)
 9 UPPER CHANGI MRT STATION  Exit A    (42246.13 36002.08)
10 UPPER CHANGI MRT STATION  Exit A    (42205.19 36018.15)
11 BEDOK NORTH MRT STATION   Exit B    (37542.44 35150.99)
12 BEDOK NORTH MRT STATION   Exit B    (37550.39 35173.81)
13 BUKIT PANJANG MRT STATION Exit A     (20066.96 40082.6)
14 CHOA CHU KANG MRT STATION Exit A    (18122.31 40816.19)
15 CHOA CHU KANG MRT STATION Exit C    (18112.29 40852.68)
16 CHOA CHU KANG MRT STATION Exit D    (18072.23 40812.88)
17 EXPO MRT STATION          Exit A     (42302.73 35296.8)

Remove the duplicates and check that all duplicates are removed. 556 rows remaining.

train_exit <- train_exit %>%
  distinct(stn_name,
           exit_code,
           .keep_all = TRUE)

train_exit %>%
  group_by(stn_name, exit_code) %>%
  filter(n()>1) %>%
  ungroup()
Simple feature collection with 0 features and 2 fields
Bounding box:  xmin: NA ymin: NA xmax: NA ymax: NA
Projected CRS: SVY21 / Singapore TM
# A tibble: 0 × 3
# ℹ 3 variables: stn_name <chr>, exit_code <chr>, geometry <GEOMETRY [m]>

Count the number of station exits within each hexagon and then also, assign ‘grid_id’ to each train station exits points. The bs_count df is now enriched with number of mrt station exits information!

bs_count$train_exit_ct = lengths(st_intersects(bs_count,train_exit))
bs_count %>% arrange(desc(train_exit_ct)) %>% head()
Simple feature collection with 6 features and 3 fields
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 27595.12 ymin: 28647.16 xmax: 30595.12 ymax: 32111.27
Projected CRS: SVY21 / Singapore TM
  grid_id num_bs train_exit_ct                       geometry
1    1370      7            13 POLYGON ((27970.12 31245.24...
2    1452     10            13 POLYGON ((29470.12 28647.16...
3    1473      8            12 POLYGON ((29845.12 29296.68...
4    1494      5            12 POLYGON ((30220.12 28647.16...
5    1495     10            10 POLYGON ((30220.12 29946.2,...
6    1474     16             9 POLYGON ((29845.12 30595.72...

Lets take a look at the train station exits points (denoted by the black dots). The red hexagons highlights the grids with more than 10 train stations exits.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count[bs_count$train_exit_ct >=10,]) +
  tm_polygons(alpha = 0.3,
              col='red') +
  tm_shape(train_exit) +
  tm_dots(size=0.01) +
  tm_layout(main.title = "Train exits location",
          main.title.fontface = 'bold',
          main.title.position = "center",
          main.title.size = 2,
          legend.height = 0.45, 
          legend.width = 0.35,
          frame = TRUE) + 
  tm_view(set.zoom.limits = c(11,16)) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

Let us continue to import more origin and destination attributes data.

Geospatial dataset 2

We will import Pre-Schools Locations kml file from data.gov.sg. It is a POINT sf object. This variable is potentially one of the attractiveness of our destinations.

preschool = st_read('data/geospatial/pre-schools-location-kml.kml') %>% 
  st_transform(preschool, crs=3414)
Reading layer `PRESCHOOLS_LOCATION' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial\pre-schools-location-kml.kml' 
  using driver `KML'
Simple feature collection with 1925 features and 2 fields
Geometry type: POINT
Dimension:     XYZ
Bounding box:  xmin: 103.6824 ymin: 1.247759 xmax: 103.9897 ymax: 1.462134
z_range:       zmin: 0 zmax: 0
Geodetic CRS:  WGS 84

Count the number of preschools within each hexagon and then also, assign ‘grid_id’ to each preschool. The bs_count df is now enriched with number of preschool information!

bs_count$preschool_ct = lengths(st_intersects(bs_count,preschool))

Let us take a look at the preschool locations (denoted by the black dots). The red hexagons highlights the grids with more than 10 preschools.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count[bs_count$preschool_ct >= 10,]) +
  tm_polygons(alpha = 0.3,
              col='red') +
  tm_shape(preschool) +
  tm_dots(size=0.01) +
    tm_layout(main.title = "Preschool location",
          main.title.fontface = 'bold',
          main.title.position = "center",
          main.title.size = 2,
          legend.height = 0.45, 
          legend.width = 0.35,
          frame = TRUE) + 
  tm_view(set.zoom.limits = c(11,16)) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

Geospatial dataset 3

We will import the Business shape file provided by Prof Kam. It is a POINT sf object containing information about business locations in Singapore. This variable is potentially one of the attractiveness of our destinations because passengers could take bus to work during the morning peak period.

business <- st_read(dsn='data/geospatial',
                  layer='Business') %>% 
  st_transform(crs=3414)
Reading layer `Business' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 6550 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3669.148 ymin: 25408.41 xmax: 47034.83 ymax: 50148.54
Projected CRS: SVY21 / Singapore TM
business<- unique(business)

Count the number of businesses within each hexagon and then also, assign ‘grid_id’ to each businesses. The bs_count df is now enriched with business POI!

bs_count$business_ct = lengths(st_intersects(bs_count,business))

Let us take a look at the business locations (denoted by the black dots). The red hexagons highlights the grids with more than 50 business POI.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count[bs_count$business_ct >= 50,]) +
  tm_polygons(alpha = 0.3,
              col='red') +
  tm_shape(business) +
  tm_dots(size=0.01) +
    tm_layout(main.title = "Business location",
          main.title.fontface = 'bold',
          main.title.position = "center",
          main.title.size = 2,
          legend.height = 0.45, 
          legend.width = 0.35,
          frame = TRUE) + 
  tm_view(set.zoom.limits = c(11,16)) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

Geospatial dataset 4

We will import the FinServ shape file provided by Prof Kam. It is a POINT sf object containing information about financial service locations (Banks / Money Changers) in Singapore. This variable is potentially one of the attractiveness of our destinations because passengers could take bus to work during the morning peak period.

finserv <- st_read(dsn='data/geospatial',
                  layer='FinServ') %>% 
  st_transform(crs=3414)
Reading layer `FinServ' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 3320 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 4881.527 ymin: 25171.88 xmax: 46526.16 ymax: 49338.02
Projected CRS: SVY21 / Singapore TM
finserv<- unique(finserv)

Count the number of financial service points within each hexagon and then also, assign ‘grid_id’ to each financial service points. The bs_count df is now enriched with financial services information!

bs_count$finserv_ct = lengths(st_intersects(bs_count,finserv))

Let us take a look at the financial services locations (denoted by the black dots). The red hexagons highlights the grids with more than 50 financial services points.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count[bs_count$finserv_ct >= 50,]) +
  tm_polygons(alpha = 0.3,
              col='red') +
  tm_shape(finserv) +
  tm_dots(size=0.01) +
    tm_layout(main.title = "Financial Service location",
          main.title.fontface = 'bold',
          main.title.position = "center",
          main.title.size = 2,
          legend.height = 0.45, 
          legend.width = 0.35,
          frame = TRUE) + 
  tm_view(set.zoom.limits = c(11,16)) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

Importing the attractiveness and propulsive aspatial data

Aspatial dataset 1

Let us import the Schools general information in csv format , downloaded from School Directory and Information from data.gov.sg. It contains location (implicitly in the form of the field ‘POSTAL_CODE’) of the MOE kindergartens, Primary Schools , Secondary Schools and junior colleges. It does not contain ITEs , Polytechnics and Universities locations. There is a total of 346 records inside this csv file.

sch <- read_csv('data/aspatial/Generalinformationofschools.csv')
head(sch) %>% kable
school_name url_address address postal_code telephone_no telephone_no_2 fax_no fax_no_2 email_address mrt_desc bus_desc principal_name first_vp_name second_vp_name third_vp_name fourth_vp_name fifth_vp_name sixth_vp_name dgp_code zone_code type_code nature_code session_code mainlevel_code sap_ind autonomous_ind gifted_ind ip_ind mothertongue1_code mothertongue2_code mothertongue3_code
ADMIRALTY PRIMARY SCHOOL https://admiraltypri.moe.edu.sg/ 11 WOODLANDS CIRCLE 738907 63620598 na 63627512 na ADMIRALTY_PS@MOE.EDU.SG Admiralty Station TIBS 965, 964, 913 MR PEK WEE HAUR MDM CHUA MUI LING MDM NUR SABARIAH BTE MOHD IBRAHIM NULL NULL NULL NULL WOODLANDS NORTH GOVERNMENT SCHOOL CO-ED SCHOOL FULL DAY PRIMARY No No No No Chinese Malay Tamil
ADMIRALTY SECONDARY SCHOOL http://www.admiraltysec.moe.edu.sg 31 WOODLANDS CRESCENT 737916 63651733 63654596 63652774 na Admiralty_SS@moe.edu.sg ADMIRALTY MRT 904 MR LAM YUI- P’NG MR NG SONG LIM STEVEN MR SHEIK ALAUDIN B MOHD ISMAIL NULL NULL NULL NULL WOODLANDS NORTH GOVERNMENT SCHOOL CO-ED SCHOOL SINGLE SESSION SECONDARY No No No No Chinese Malay Tamil
AHMAD IBRAHIM PRIMARY SCHOOL http://www.ahmadibrahimpri.moe.edu.sg 10 YISHUN STREET 11 768643 67592906 na 67592927 na aips@moe.edu.sg Yishun Yishun Ring Road - 812 (white plate); Yishun Ave 2 - 169, 804, 965, 117, 883 MISS ONG LEE CHOO MADAM SULASNI BINTE ABDUL RAHMAN NULL NULL NULL NULL NULL YISHUN NORTH GOVERNMENT SCHOOL CO-ED SCHOOL SINGLE SESSION PRIMARY No No No No Chinese Malay Tamil
AHMAD IBRAHIM SECONDARY SCHOOL http://www.ahmadibrahimsec.moe.edu.sg 751 YISHUN AVENUE 7 768928 67585384 na 67557778 na aiss@moe.edu.sg CANBERRA MRT, YISHUN MRT 117, 167, 169, 800, 811, 812, 883, 856, 858, 859, 965, 969, 980 MISS TAN KE XIN MR YAO ZHIXUAN TERENCE MISS LEA SHU HUI NULL NULL NULL NULL YISHUN NORTH GOVERNMENT SCHOOL CO-ED SCHOOL SINGLE SESSION SECONDARY No No No No Chinese Malay Tamil
AI TONG SCHOOL http://www.aitong.moe.edu.sg 100 Bright Hill Drive 579646 64547672 na 64532726 na AITONG_SCH@MOE.EDU.SG Bishan MRT 410, 162, 52 MDM GOH LING LING DIANE MDM NG BEE ENG, CINDY MR YAK BENG WEI NULL NULL NULL NULL BISHAN SOUTH GOVERNMENT-AIDED SCH CO-ED SCHOOL SINGLE SESSION PRIMARY Yes No No No Chinese na na
ALEXANDRA PRIMARY SCHOOL http://alexandrapri.moe.edu.sg 2A Prince Charles Crescent 159016 62485400 na 62485409 na alexandra_ps@moe.edu.sg Redhill Station Tiong Bahru Station 51, 122, 139, 186, 970. MDM TEO CHING LING MDM NORAINI BTE MANSOOR NULL NULL NULL NULL NULL BUKIT MERAH SOUTH GOVERNMENT SCHOOL CO-ED SCHOOL SINGLE SESSION PRIMARY No No No No Chinese Malay Tamil

Next, we will load poly_ite_postal csv file that is collated by myself. It contains the postal codes of the 5 polytechnics and the 3 ITE colleges in Singapore.

ter <- read_csv('data/aspatial/poly_ite_postal.csv')
ter %>% kable
school_name postal_code
Singapore Polytechnic 139651
Republic Polytechnic 738964
Nanyang Polytechnic 569830
Temasek Polytechnic 529757
Ngee Ann Polytechnic 599489
ITE Central 567720
ITE Colleage East 486047
ITE College West 688236

Since there are only 8 records of ITEs and Polys, I have manually added these 8 records into the original Generalinformationofschools.csv above and rename it as allsch.csv

Reload the allsch.csv, which contains 354 records in total.

sch <- read_csv('data/aspatial/allsch.csv')
Geocoding the schools location

We will use the OneMap API to retrieve the longitude (X) and latitude (Y) coordinates using the ‘POSTAL_CODE’ field. First load the httr package which works in a TIDY manner.

library('httr')

OneMap API is owned by SLA. The API documentation is found here.

url <- 'https://www.onemap.gov.sg/api/common/elastic/search'

postcodes <- sch$`postal_code`

The code chunk below does the following:

  1. Initiate two empty dataframes; found to contain the results of the postal codes that are successful geocoded and not_found to contain the postal codes that are not successfully geocoded.
  2. Uses a loop to use the OneMap API for sch and ter df.
found <- data.frame()
not_found <- data.frame()


for(postcode in postcodes) {
  query <- list('searchVal' = postcode, 'returnGeom' = 'Y', 'getAddrDetails' = 'Y', 'pageNum' = '1')
  res <- GET(url, query=query)

  
  if((content(res)$found)!=0){
    found<-rbind(found, data.frame(content(res))[4:13])
  } else{
    not_found = data.frame(postcode)
  }
}

Out of the 354 records in allsch, 1 school (Zhenghua Secondary School) is unsuccessfully geocoded.

Let us merge the output of geocoding with the original allsch.csv file.

merged = merge(sch, found, by.x = 'postal_code' , by.y='results.POSTAL', all=TRUE)

Write merged into a csv file and manually add the longitude and latitude (1.3887, 103.7652 ) of Zhenghua Secondary into the csv file.

write.csv(merged, file = 'data/aspatial/schools_geocoded.csv')
write.csv(not_found, file = 'data/aspatial/not_found.csv')

After manual edit, reload the schools_geocoded.csv file in R.

sch <- read_csv('data/aspatial/schools_geocoded.csv') %>% 
  select(postal_code, school_name, results.LONGITUDE, results.LATITUDE )

Convert sch to sf point object with longitude and latitude

Convert to SVY21 Singapore Projected Coordinates System after converting to sf object.

sch_sf <- st_as_sf(sch,
                   coords = c('results.LONGITUDE','results.LATITUDE'),
                        crs=4326) %>% 
  st_transform(crs=3414)

Count the number of schools in each hexagon and assign each school to a grid_id.

bs_count$sch_ct = lengths(st_intersects(bs_count,sch_sf))
bs_count %>% arrange(desc(sch_ct)) %>% head()
Simple feature collection with 6 features and 7 fields
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 15220.12 ymin: 31894.76 xmax: 37720.12 ymax: 42503.57
Projected CRS: SVY21 / Singapore TM
  grid_id num_bs train_exit_ct preschool_ct business_ct finserv_ct sch_ct
1     873      1             0            2           0          0      4
2    1350      4             1            2           0          1      4
3    1895     11             0            1           0          1      4
4     680      9             3            2           0          5      3
5     786     11             0            3           0          1      3
6     832     11             4           10           0         12      3
                        geometry
1 POLYGON ((18970.12 40338.51...
2 POLYGON ((27595.12 33193.8,...
3 POLYGON ((37345.12 31894.76...
4 POLYGON ((15595.12 35791.87...
5 POLYGON ((17470.12 36441.39...
6 POLYGON ((18220.12 41637.55...

Let us take a look at the map. The highest count of schools in a hexagon is 4.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count[bs_count$sch_ct>=4,]) +
  tm_polygons(alpha = 0.3,
              col = 'red') +
  tm_shape(sch_sf) +
  tm_dots() +
    tm_layout(main.title = "Schools location",
          main.title.fontface = 'bold',
          main.title.position = "center",
          main.title.size = 2,
          legend.height = 0.45, 
          legend.width = 0.35,
          frame = TRUE) + 
  tm_view(set.zoom.limits = c(11,16)) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

Aspatial dataset 2

We will now import the hdb.csv file provided by Prof Kam. The original source file is named HDB Property Information downloaded from this link, but it contains no postal code or coordinates. it contains data from Jan 1937 - Jun 2023.

The hdb.csv used in this exercise has been geocoded by Prof Kam. It contains information postal code and longitude/ latitude coordinates.

We will not be using commercial HDB property, therefore we will remove non-residential rows. The number of rows reduced from 12,442 to to 10,181.

The fields ‘total_rental_ct’ refers to the estimated number of people who stay in rented apartments, ‘total_nroom_ct’ refers to the estimated number of people staying in n-room apartment and ‘total_owner_ct’ refers to the estimated number of residents who stay in HDB property.

The reason for retaining the details of n-room count is because it is a potential proxy for income level. The multipliers for each room type (eg. 1 for 1 room, 2 for 2 rooms, 10 for 3 rooms for instance) is estimated using the HDBResidentPopulationAged15YearsandAbovebyFlatType.csv retrieved from data.gov. The bar chart below will show how the multipliers were estimated.

Show the code
ggplot(res_est, aes(x = flat_type, y = number)) +
  geom_bar(stat = "identity") +
  geom_text(aes(label = paste0(number,', ', round(number/sum(number)*100,1), '%')),
            position = position_dodge(width = 0.8), vjust= -1, size = 3.5) +
  labs(title = "Number of residents by Flat Types",
       x = "Flat Type",
       y = "Number") +
  theme(plot.title = element_text(face="bold"))

hdb <- read_csv('data/aspatial/hdb.csv') %>% 
  filter(residential == "Y") %>% 
  mutate(total_rental_ct = `1room_rental`*1 + `2room_rental`*2 + `3room_rental`*3 + `other_room_rental`*4,
         total_1room_ct = `1room_sold`,
         total_2room_ct = `2room_sold`*2,
         total_3room_ct = `3room_sold`*10,
         total_4room_ct = `4room_sold`*21,
         total_5room_ct = `5room_sold`*13,
         total_exec_ct = `exec_sold`*4,
         total_multi_ct = `multigen_sold`*13,
         total_studio_ct = `studio_apartment_sold`,
         total_owner_ct = `1room_sold`*1 + `2room_sold`*2 + `3room_sold`*10 + `4room_sold`*21 + `5room_sold`*13 + `exec_sold`*4 + `multigen_sold`*13 + `studio_apartment_sold`*1) %>% 
  select(blk_no, street, total_rental_ct, total_1room_ct, total_1room_ct,total_2room_ct,total_3room_ct,total_4room_ct,total_5room_ct,total_exec_ct,total_multi_ct, total_studio_ct,total_owner_ct, lat, lng)

Let us take a look at the first six rows of hdb df.

head(hdb) %>% kable()
blk_no street total_rental_ct total_1room_ct total_2room_ct total_3room_ct total_4room_ct total_5room_ct total_exec_ct total_multi_ct total_studio_ct total_owner_ct lat lng
1 BEACH RD 0 0 2 1380 21 26 0 0 0 1429 1.295097 103.8541
1 BEDOK STH AVE 1 0 0 0 2040 0 26 0 0 0 2066 1.320852 103.9337
1 CHAI CHEE RD 0 0 0 0 210 1196 0 0 0 1406 1.327969 103.9227
1 CHANGI VILLAGE RD 0 0 0 540 0 13 0 0 0 553 1.388610 103.9881
1 DELTA AVE 0 0 0 0 0 1248 0 0 0 1248 1.292075 103.8286
1 DOVER RD 0 0 0 1180 0 91 0 0 0 1271 1.302530 103.7833

Tranform hdb to a simply feature POINT object using st_as_sf function and transform from WSG84 to SVY21 Singapore Projected Coordinate System using st_transform() of sf package.

hdb_sf <- st_as_sf(hdb,
                   coords = c('lng','lat'),
                        crs=4326) %>% 
  st_transform(crs=3414)

hdb_sf
Simple feature collection with 10181 features and 12 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 11519.15 ymin: 28097.64 xmax: 45224.46 ymax: 48741.06
Projected CRS: SVY21 / Singapore TM
# A tibble: 10,181 × 13
   blk_no street    total_rental_ct total_1room_ct total_2room_ct total_3room_ct
 * <chr>  <chr>               <dbl>          <dbl>          <dbl>          <dbl>
 1 1      BEACH RD                0              0              2           1380
 2 1      BEDOK ST…               0              0              0           2040
 3 1      CHAI CHE…               0              0              0              0
 4 1      CHANGI V…               0              0              0            540
 5 1      DELTA AVE               0              0              0              0
 6 1      DOVER RD                0              0              0           1180
 7 1      EUNOS CR…             494              0              0              0
 8 1      EVERTON …               0              0              0            620
 9 1      GHIM MOH…               0              0              0           2160
10 1      HAIG RD                 0              0              0           2140
# ℹ 10,171 more rows
# ℹ 7 more variables: total_4room_ct <dbl>, total_5room_ct <dbl>,
#   total_exec_ct <dbl>, total_multi_ct <dbl>, total_studio_ct <dbl>,
#   total_owner_ct <dbl>, geometry <POINT [m]>

Assign a ‘grid_id’ to each observation inside the hdb_sf POINT sf object by using the st_intersection() function.

Before: hdb_sf contains 10,181 rows

After: st_intersection(): hdb_hex contains 10,133 rows. Some points in hdb_sf do not fall within bs_count basic hexagon units. This is expected as bs_count that does not have hexagons with zero bus stop counts.

hdb_hex <- st_intersection(hdb_sf,bs_count)

Drop the geometry column, and check for duplicates.

hdb_hex<- hdb_hex %>% 
  st_drop_geometry()
hdb_hex %>% 
  group_by_all() %>%
  filter(n()>1) %>%
  ungroup()
# A tibble: 0 × 19
# ℹ 19 variables: blk_no <chr>, street <chr>, total_rental_ct <dbl>,
#   total_1room_ct <dbl>, total_2room_ct <dbl>, total_3room_ct <dbl>,
#   total_4room_ct <dbl>, total_5room_ct <dbl>, total_exec_ct <dbl>,
#   total_multi_ct <dbl>, total_studio_ct <dbl>, total_owner_ct <dbl>,
#   grid_id <int>, num_bs <int>, train_exit_ct <int>, preschool_ct <int>,
#   business_ct <int>, finserv_ct <int>, sch_ct <int>

For each ‘grid_id’, sum the ‘total_rental_ct’ and ‘total_owners_ct’. After group_by, the number of rows reduced from 10,133 to 392 unique ‘grid_id

hdb_hex <- hdb_hex %>% 
  group_by(grid_id) %>% 
  summarise(hdb_rental_ct = sum(total_rental_ct),
            hdb_1room_ct = sum(total_1room_ct),
            hdb_2room_ct = sum(total_2room_ct),
            hdb_3room_ct = sum(total_3room_ct),
            hdb_4room_ct = sum(total_4room_ct),
            hdb_5room_ct = sum(total_5room_ct),
            hdb_exec_ct = sum(total_exec_ct),
            hdb_multi_ct = sum(total_multi_ct),
            hdb_studio_ct = sum(total_studio_ct),
            hdb_owner_ct = sum (total_owner_ct)) %>% 
  ungroup()

Append the HDB rental and owner counts to the bs_count df by performing a left join

bs_count <- left_join(bs_count, hdb_hex,
                      by= c('grid_id' = 'grid_id'))

bs_count<- bs_count %>% 
  mutate(hdb_rental_ct = replace_na(hdb_rental_ct, 0),
         hdb_1room_ct = replace_na(hdb_1room_ct, 0),
         hdb_2room_ct = replace_na(hdb_2room_ct, 0),
         hdb_3room_ct = replace_na(hdb_3room_ct, 0),
         hdb_4room_ct = replace_na(hdb_4room_ct, 0),
         hdb_5room_ct = replace_na(hdb_5room_ct, 0),
         hdb_exec_ct = replace_na(hdb_exec_ct, 0),
         hdb_multi_ct = replace_na(hdb_multi_ct, 0),
         hdb_studio_ct = replace_na(hdb_studio_ct, 0),
         hdb_owner_ct = replace_na(hdb_owner_ct, 0))

Let us visualise the estimated population density of Singapore residents who stays in HDB property.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count) +
  tm_fill('hdb_owner_ct',
          alpha= 0.7) +
  tm_borders(col='grey') +
  tm_layout(main.title = "Population density of HDB residents 2023 by Hexagon",
            main.title.fontface = 'bold',
            main.title.position = "center",
            main.title.size = 2,
            legend.height = 0.55, 
            legend.width = 0.45,
            frame = TRUE) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

This rough estimation of the population density of residents staying in HDB (until June 2023) is acceptable because according to Singapore Census of Population 2020, the top four planning areas with more than 250,000 residents are Bedok, Jurong West, Tampanies and Woodlands. (see chart below). The level of intensity of the map above looks similar to the intensity of the map below, with the exception of the North_east area. The North-East region with planning areas like Punggol and Seng Kang are newer estates that are probably not captured in 2020 census.

Append all attributes to flow_data1 df

We will perform left_join() twice to get the origin and destination attributes properly appended into the flow_data1 df (currently contains only response variable ‘TRIPS’ and one explanatory variable ‘dist’) .

First, convert ‘grid_id’ in sz_count to factor format.

bs_count$grid_id <- as.factor(bs_count$grid_id)
flow_data1 <- flow_data1 %>%
  left_join(bs_count,
            by = c('ORIGIN_GRID_ID' = 'grid_id')) %>%
  rename(ORIGIN_TRAIN_EXIT_CT=train_exit_ct,
         ORIGIN_PRESCHOOL_CT=preschool_ct,
         ORIGIN_BUSINESS_CT=business_ct,
         ORIGIN_FINSERV_CT=finserv_ct,
         ORIGIN_SCH_CT=sch_ct,
         ORIGIN_RENTAL_CT=hdb_rental_ct,
         ORIGIN_1ROOM_CT=hdb_1room_ct,
         ORIGIN_2ROOM_CT=hdb_2room_ct,
         ORIGIN_3ROOM_CT=hdb_3room_ct,
         ORIGIN_4ROOM_CT=hdb_4room_ct,
         ORIGIN_5ROOM_CT=hdb_5room_ct,
         ORIGIN_EXEC_CT=hdb_exec_ct,
         ORIGIN_MULTI_CT=hdb_multi_ct,
         ORIGIN_STUDIO_CT=hdb_studio_ct,
         ORIGIN_OWNER_CT=hdb_owner_ct) %>%
  select(-c(num_bs,geometry))
flow_data1 <- flow_data1 %>%
  left_join(bs_count,
            by = c('DESTIN_GRID_ID' = 'grid_id')) %>%
  rename(DESTIN_TRAIN_EXIT_CT=train_exit_ct,
         DESTIN_PRESCHOOL_CT=preschool_ct,
         DESTIN_BUSINESS_CT=business_ct,
         DESTIN_FINSERV_CT=finserv_ct,
         DESTIN_SCH_CT=sch_ct,
         DESTIN_RENTAL_CT=hdb_rental_ct,
         DESTIN_1ROOM_CT=hdb_1room_ct,
         DESTIN_2ROOM_CT=hdb_2room_ct,
         DESTIN_3ROOM_CT=hdb_3room_ct,
         DESTIN_4ROOM_CT=hdb_4room_ct,
         DESTIN_5ROOM_CT=hdb_5room_ct,
         DESTIN_EXEC_CT=hdb_exec_ct,
         DESTIN_MULTI_CT=hdb_multi_ct,
         DESTIN_STUDIO_CT=hdb_studio_ct,
         DESTIN_OWNER_CT=hdb_owner_ct) %>%
  select(-c(num_bs, geometry))

Write flow_data1 into local disk.

write_rds(flow_data1,
          "data/rds/flow_data_tidy.rds")

Read the flow_data1 back into R

flow_data1 <- read_rds("data/rds/flow_data_tidy.rds")

Calibrating Spatial Interaction Models

Basic data exploration of flow_data1 df.

‘TRIPS’ are all positive values, its distribution is highly skewed to the right.

ggplot(data = flow_data1,
       aes(x = TRIPS)) +
  geom_histogram(color='black',size= 0.3, fill = '#DD8888') +
  labs(y= 'Count of TRIPS', x='TRIPS') +
  theme(axis.title.y=element_text(angle = 0),
        plot.title = element_text(face="bold")) +
  ggtitle('Distribution of TRIPS')

These two variables are not linearly related, suggesting that we could apply data transformation on them.

ggplot(data = flow_data1,
       aes(x = dist, # independent
           y = TRIPS)) +  #dependent
  geom_point() +
  geom_smooth(method = lm) +
  labs(y= 'TRIPS', x='dist') +
  theme(axis.title.y=element_text(angle = 0),
        plot.title = element_text(face="bold")) +
  ggtitle('Relationship between TRIPS and Distance')

ggplot(data = flow_data1,
       aes(x = log(dist),
           y = log(TRIPS))) +
  geom_point() +
  geom_smooth(method = lm) +
  labs(y= 'log(TRIPS)', x='log(dist)') +
  theme(axis.title.y=element_text(angle = 0),
        plot.title = element_text(face="bold")) +
  ggtitle('Relationship between log(TRIPS) and log(dist)')

The first choice of our regression model is the Poisson Regression in glm() function.

Why Poisson regression?

  • our target variable (TRIPS) is count-based

  • target variable can only be positive values (unlike Linear regression where positive and negative values are possible; negative TRIPS do not make sense)

  • a type of generalised linear model (GLM) used to count data

  • residuals may follow a asymmetric distribution around the mean (meaning outcomes on either sides of the mean are NOT equally likely.)

  • It means that the probability of commuting is not described by a continuous (normal) probability distribution, but a discrete probability distribution such as the Poisson distribution

It would also mean that we do not have to adhere to the assumptions of the Linear Regression Model:

  • dependent variable and predictors have linear relationship

  • residual errors (predicted - actual) are normally distributed, have a constant variance and unrelated with one another.

Check independent variables for zero values

Since we have chosen the Poisson regression, which is based on log and log 0 is undefined, it is important for us to ensure that are no 0 values in the explanatory variables.

In the code chunk below, summary() of Base R is used to compute the summary statistics of all variables in flow_data1 data frame.

summary(flow_data1)
 ORIGIN_GRID_ID  DESTIN_GRID_ID      TRIPS        FlowNoIntra        offset 
 1960   :  290   1474   :  344   Min.   :    1   Min.   :    1   Min.   :1  
 1477   :  288   1452   :  331   1st Qu.:    7   1st Qu.:    7   1st Qu.:1  
 1474   :  277   1516   :  314   Median :   34   Median :   34   Median :1  
 1496   :  272   1960   :  289   Mean   :  327   Mean   :  327   Mean   :1  
 1623   :  267   1477   :  288   3rd Qu.:  156   3rd Qu.:  156   3rd Qu.:1  
 1480   :  266   1494   :  283   Max.   :75374   Max.   :75374   Max.   :1  
 (Other):60460   (Other):60271                                              
      dist       ORIGIN_TRAIN_EXIT_CT ORIGIN_PRESCHOOL_CT ORIGIN_BUSINESS_CT
 Min.   :  750   Min.   : 0.000       Min.   : 0.000      Min.   : 0.000    
 1st Qu.: 2704   1st Qu.: 0.000       1st Qu.: 1.000      1st Qu.: 0.000    
 Median : 5250   Median : 0.000       Median : 3.000      Median : 1.000    
 Mean   : 6233   Mean   : 1.234       Mean   : 3.362      Mean   : 6.367    
 3rd Qu.: 8649   3rd Qu.: 2.000       3rd Qu.: 5.000      3rd Qu.: 6.000    
 Max.   :24784   Max.   :13.000       Max.   :18.000      Max.   :97.000    
                                                                            
 ORIGIN_FINSERV_CT ORIGIN_SCH_CT    ORIGIN_RENTAL_CT ORIGIN_1ROOM_CT   
 Min.   :  0.000   Min.   :0.0000   Min.   :   0.0   Min.   :  0.0000  
 1st Qu.:  1.000   1st Qu.:0.0000   1st Qu.:   0.0   1st Qu.:  0.0000  
 Median :  3.000   Median :0.0000   Median :   0.0   Median :  0.0000  
 Mean   :  7.147   Mean   :0.5765   Mean   : 197.5   Mean   :  0.3571  
 3rd Qu.:  8.000   3rd Qu.:1.0000   3rd Qu.:  24.0   3rd Qu.:  0.0000  
 Max.   :130.000   Max.   :4.0000   Max.   :2893.0   Max.   :255.0000  
                                                                       
 ORIGIN_2ROOM_CT   ORIGIN_3ROOM_CT ORIGIN_4ROOM_CT ORIGIN_5ROOM_CT
 Min.   :   0.00   Min.   :    0   Min.   :    0   Min.   :    0  
 1st Qu.:   0.00   1st Qu.:    0   1st Qu.:    0   1st Qu.:    0  
 Median :   0.00   Median : 1030   Median : 6048   Median : 2119  
 Mean   :  78.29   Mean   : 4883   Mean   :15138   Mean   : 5136  
 3rd Qu.:  44.00   3rd Qu.: 6700   3rd Qu.:25683   3rd Qu.: 7605  
 Max.   :4164.00   Max.   :40960   Max.   :99162   Max.   :61945  
                                                                  
 ORIGIN_EXEC_CT   ORIGIN_MULTI_CT    ORIGIN_STUDIO_CT ORIGIN_OWNER_CT 
 Min.   :   0.0   Min.   :   0.000   Min.   :  0.00   Min.   :     0  
 1st Qu.:   0.0   1st Qu.:   0.000   1st Qu.:  0.00   1st Qu.:     0  
 Median :   0.0   Median :   0.000   Median :  0.00   Median : 12883  
 Mean   : 424.9   Mean   :   6.994   Mean   : 14.59   Mean   : 25682  
 3rd Qu.: 448.0   3rd Qu.:   0.000   3rd Qu.:  0.00   3rd Qu.: 46830  
 Max.   :6776.0   Max.   :1976.000   Max.   :252.00   Max.   :130585  
                                                                      
 DESTIN_TRAIN_EXIT_CT DESTIN_PRESCHOOL_CT DESTIN_BUSINESS_CT DESTIN_FINSERV_CT
 Min.   : 0.000       Min.   : 0.000      Min.   : 0.000     Min.   :  0.00   
 1st Qu.: 0.000       1st Qu.: 1.000      1st Qu.: 0.000     1st Qu.:  1.00   
 Median : 0.000       Median : 3.000      Median : 1.000     Median :  3.00   
 Mean   : 1.348       Mean   : 3.208      Mean   : 7.368     Mean   :  7.93   
 3rd Qu.: 2.000       3rd Qu.: 5.000      3rd Qu.: 6.000     3rd Qu.:  9.00   
 Max.   :13.000       Max.   :18.000      Max.   :97.000     Max.   :130.00   
                                                                              
 DESTIN_SCH_CT    DESTIN_RENTAL_CT DESTIN_1ROOM_CT    DESTIN_2ROOM_CT  
 Min.   :0.0000   Min.   :   0.0   Min.   :  0.0000   Min.   :   0.00  
 1st Qu.:0.0000   1st Qu.:   0.0   1st Qu.:  0.0000   1st Qu.:   0.00  
 Median :0.0000   Median :   0.0   Median :  0.0000   Median :   0.00  
 Mean   :0.5383   Mean   : 188.9   Mean   :  0.3941   Mean   :  71.92  
 3rd Qu.:1.0000   3rd Qu.:  15.0   3rd Qu.:  0.0000   3rd Qu.:  16.00  
 Max.   :4.0000   Max.   :2893.0   Max.   :255.0000   Max.   :4164.00  
                                                                       
 DESTIN_3ROOM_CT DESTIN_4ROOM_CT DESTIN_5ROOM_CT DESTIN_EXEC_CT  
 Min.   :    0   Min.   :    0   Min.   :    0   Min.   :   0.0  
 1st Qu.:    0   1st Qu.:    0   1st Qu.:    0   1st Qu.:   0.0  
 Median :  660   Median : 4599   Median : 1092   Median :   0.0  
 Mean   : 4558   Mean   :13814   Mean   : 4634   Mean   : 374.6  
 3rd Qu.: 6170   3rd Qu.:23961   3rd Qu.: 6877   3rd Qu.: 288.0  
 Max.   :40960   Max.   :99162   Max.   :61945   Max.   :6776.0  
                                                                 
 DESTIN_MULTI_CT   DESTIN_STUDIO_CT DESTIN_OWNER_CT 
 Min.   :   0.00   Min.   :  0.00   Min.   :     0  
 1st Qu.:   0.00   1st Qu.:  0.00   1st Qu.:     0  
 Median :   0.00   Median :  0.00   Median :  9446  
 Mean   :   6.82   Mean   : 13.24   Mean   : 23473  
 3rd Qu.:   0.00   3rd Qu.:  0.00   3rd Qu.: 42903  
 Max.   :1976.00   Max.   :252.00   Max.   :130585  
                                                    

The print report above reveals that variables all consist of 0 values.

In view of this, code chunk below will be used to use a loop to replace zero values to 0.99 (randomly chosen value that is close to 0). The names of the fields to be transformed will be stored in ‘columns_to_transform’ variable.

columns_to_transform <- c(
"ORIGIN_TRAIN_EXIT_CT", "ORIGIN_PRESCHOOL_CT",  "ORIGIN_BUSINESS_CT",   "ORIGIN_FINSERV_CT",   "ORIGIN_SCH_CT",        "ORIGIN_RENTAL_CT", "ORIGIN_1ROOM_CT",      "ORIGIN_2ROOM_CT",      "ORIGIN_3ROOM_CT",      "ORIGIN_4ROOM_CT",      "ORIGIN_5ROOM_CT",      "ORIGIN_EXEC_CT",       "ORIGIN_MULTI_CT",      "ORIGIN_STUDIO_CT",    "ORIGIN_OWNER_CT",      "DESTIN_TRAIN_EXIT_CT", "DESTIN_PRESCHOOL_CT",  "DESTIN_BUSINESS_CT",   "DESTIN_FINSERV_CT",   "DESTIN_SCH_CT",        "DESTIN_RENTAL_CT", "DESTIN_1ROOM_CT",      "DESTIN_2ROOM_CT",      "DESTIN_3ROOM_CT",     
"DESTIN_4ROOM_CT",      "DESTIN_5ROOM_CT",      "DESTIN_EXEC_CT",       "DESTIN_MULTI_CT",      "DESTIN_STUDIO_CT",    "DESTIN_OWNER_CT"
)


for (col in columns_to_transform) {
  flow_data1[[col]] <- ifelse(flow_data1[[col]] == 0, 0.99, flow_data1[[col]])
}

The four SIMs

For modelling the weekday morning peak passenger flow , we have the following attractive and propulsive variables:

Propulsive: ‘ORIGIN_RENTAL_CT’, ‘ORIGIN_nROOM_CT’, ‘ORIGIN_OWNER_CT’

Attractive: ‘DESTIN_TRAIN_EXIT_CT’, ‘DESTIN_PRESCHOOL_CT’, ‘DESTIN_BUSINESS_CT’, ‘DESTIN_FINSERV_CT’, ‘DESTIN_SCH_CT’

uncSIM <- glm(formula = TRIPS ~ 
                #log(ORIGIN_TRAIN_EXIT_CT) + 
                #log(ORIGIN_PRESCHOOL_CT) +
                #log(ORIGIN_BUSINESS_CT) +
                #log(ORIGIN_FINSERV_CT) +
                #log(ORIGIN_SCH_CT) +
                log(ORIGIN_RENTAL_CT) +
                #log(ORIGIN_1ROOM_CT) +
                log(ORIGIN_2ROOM_CT) +
                log(ORIGIN_3ROOM_CT) +
                log(ORIGIN_4ROOM_CT) +
                log(ORIGIN_5ROOM_CT) +
                log(ORIGIN_EXEC_CT) +
                #log(ORIGIN_MULTI_CT) +
                log(ORIGIN_STUDIO_CT) +
                #log(ORIGIN_OWNER_CT) +
                log(DESTIN_TRAIN_EXIT_CT) +
                log(DESTIN_PRESCHOOL_CT) +
                log(DESTIN_BUSINESS_CT) +
                log(DESTIN_FINSERV_CT) +
                log(DESTIN_SCH_CT) +
                #log(DESTIN_RENTAL_CT) +
                #log(DESTIN_1ROOM_CT) +
                #log(DESTIN_2ROOM_CT) +
                #log(DESTIN_3ROOM_CT) +
                #log(DESTIN_4ROOM_CT) +
                #log(DESTIN_5ROOM_CT) +
                #log(DESTIN_EXEC_CT) +
                #log(DESTIN_MULTI_CT) +
                #log(DESTIN_STUDIO_CT) +
                #log(DESTIN_OWNER_CT) +
                log(dist),   
              family = poisson(link = "log"),
              data = flow_data1,
              na.action = na.exclude)
orcSIM <- glm(formula= TRIPS ~
                ORIGIN_GRID_ID +
                log(DESTIN_TRAIN_EXIT_CT) +
                log(DESTIN_PRESCHOOL_CT) +
                log(DESTIN_BUSINESS_CT) +
                log(DESTIN_FINSERV_CT) +
                log(DESTIN_SCH_CT) +
                #log(DESTIN_RENTAL_CT) +
                #log(DESTIN_1ROOM_CT) +
                #log(DESTIN_2ROOM_CT) +
                #log(DESTIN_3ROOM_CT) +
                #log(DESTIN_4ROOM_CT) +
                #log(DESTIN_5ROOM_CT) +
                #log(DESTIN_EXEC_CT) +
                #log(DESTIN_MULTI_CT) +
                #log(DESTIN_STUDIO_CT) +
                #log(DESTIN_OWNER_CT) +
                log(dist)-1,
              family = poisson(link='log'),
              data = flow_data1,
              na.action = na.exclude)
decSIM <- glm(formula= TRIPS ~
                DESTIN_GRID_ID +
                #log(ORIGIN_TRAIN_EXIT_CT) + 
                #log(ORIGIN_PRESCHOOL_CT) +
                #log(ORIGIN_BUSINESS_CT) +
                #log(ORIGIN_FINSERV_CT) +
                #log(ORIGIN_SCH_CT) +
                log(ORIGIN_RENTAL_CT) +
                #log(ORIGIN_1ROOM_CT) +
                log(ORIGIN_2ROOM_CT) +
                log(ORIGIN_3ROOM_CT) +
                log(ORIGIN_4ROOM_CT) +
                log(ORIGIN_5ROOM_CT) +
                log(ORIGIN_EXEC_CT) +
                #log(ORIGIN_MULTI_CT) +
                log(ORIGIN_STUDIO_CT) +
                #log(ORIGIN_OWNER_CT) +
                log(dist)-1,
              family = poisson(link='log'),
              data = flow_data1,
              na.action = na.exclude)
dbcSIM <- glm(formula = TRIPS ~ 
                ORIGIN_GRID_ID + 
                DESTIN_GRID_ID + 
                log(dist),
              family = poisson(link = "log"),
              data = flow_data1,
              na.action = na.exclude)

We will save the output of the four SIMs into rds.

write_rds(uncSIM, "data/rds/uncSIM.rds")
write_rds(orcSIM, "data/rds/orcSIM.rds") 
write_rds(decSIM, "data/rds/decSIM.rds") 
write_rds(dbcSIM, "data/rds/dbcSIM.rds") 

Now reload them into R

uncSIM<- read_rds("data/rds/uncSIM.rds")
orcSIM<- read_rds( "data/rds/orcSIM.rds") 
decSIM<- read_rds( "data/rds/decSIM.rds") 
dbcSIM<- read_rds("data/rds/dbcSIM.rds") 

Results of SIMs

Unconstrained SIM output

The R-squared value of 0.24 tells us that the explanatory variables are able to explain 24% of the variance in the TRIPS target variable.

CalcRSquared <- function(observed,estimated){
  r <- cor(observed,estimated)
  R2 <- r^2
  R2
}

CalcRSquared(uncSIM$data$TRIPS, uncSIM$fitted.values)
[1] 0.2435403

All the coefficients are statistically significant (refer to next tab). The most influential explanatory variables are distance, destination train exit count and destination school count with coefficients of -1.43, 0.45 and 0.29 respectively.

uncSIM$coefficients
              (Intercept)     log(ORIGIN_RENTAL_CT)      log(ORIGIN_2ROOM_CT) 
             15.626793956               0.002092952               0.011054065 
     log(ORIGIN_3ROOM_CT)      log(ORIGIN_4ROOM_CT)      log(ORIGIN_5ROOM_CT) 
              0.003207920               0.022356966               0.091874317 
      log(ORIGIN_EXEC_CT)     log(ORIGIN_STUDIO_CT) log(DESTIN_TRAIN_EXIT_CT) 
              0.072998692               0.010426315               0.446697044 
 log(DESTIN_PRESCHOOL_CT)   log(DESTIN_BUSINESS_CT)    log(DESTIN_FINSERV_CT) 
              0.053792693               0.024167573               0.147691697 
       log(DESTIN_SCH_CT)                 log(dist) 
              0.288495127              -1.426134616 
summary(uncSIM)

Call:
glm(formula = TRIPS ~ log(ORIGIN_RENTAL_CT) + log(ORIGIN_2ROOM_CT) + 
    log(ORIGIN_3ROOM_CT) + log(ORIGIN_4ROOM_CT) + log(ORIGIN_5ROOM_CT) + 
    log(ORIGIN_EXEC_CT) + log(ORIGIN_STUDIO_CT) + log(DESTIN_TRAIN_EXIT_CT) + 
    log(DESTIN_PRESCHOOL_CT) + log(DESTIN_BUSINESS_CT) + log(DESTIN_FINSERV_CT) + 
    log(DESTIN_SCH_CT) + log(dist), family = poisson(link = "log"), 
    data = flow_data1, na.action = na.exclude)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-141.78   -13.67    -7.09    -0.93   854.41  

Coefficients:
                            Estimate Std. Error  z value Pr(>|z|)    
(Intercept)                1.563e+01  2.172e-03  7196.26   <2e-16 ***
log(ORIGIN_RENTAL_CT)      2.093e-03  9.151e-05    22.87   <2e-16 ***
log(ORIGIN_2ROOM_CT)       1.105e-02  1.151e-04    96.08   <2e-16 ***
log(ORIGIN_3ROOM_CT)       3.208e-03  8.886e-05    36.10   <2e-16 ***
log(ORIGIN_4ROOM_CT)       2.236e-02  1.793e-04   124.67   <2e-16 ***
log(ORIGIN_5ROOM_CT)       9.187e-02  1.844e-04   498.35   <2e-16 ***
log(ORIGIN_EXEC_CT)        7.300e-02  9.258e-05   788.53   <2e-16 ***
log(ORIGIN_STUDIO_CT)      1.043e-02  1.409e-04    73.99   <2e-16 ***
log(DESTIN_TRAIN_EXIT_CT)  4.467e-01  4.136e-04  1079.94   <2e-16 ***
log(DESTIN_PRESCHOOL_CT)   5.379e-02  3.344e-04   160.84   <2e-16 ***
log(DESTIN_BUSINESS_CT)    2.417e-02  1.895e-04   127.52   <2e-16 ***
log(DESTIN_FINSERV_CT)     1.477e-01  2.755e-04   536.08   <2e-16 ***
log(DESTIN_SCH_CT)         2.885e-01  7.142e-04   403.94   <2e-16 ***
log(dist)                 -1.426e+00  2.756e-04 -5174.77   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 81514190  on 62119  degrees of freedom
Residual deviance: 41434535  on 62106  degrees of freedom
AIC: 41769936

Number of Fisher Scoring iterations: 7

Origin Constrained SIM output

The R-squared value of 0.38 tells us that the explanatory variables are able to explain 38 % of the variance in the TRIPS target variable.

CalcRSquared(orcSIM$data$TRIPS, orcSIM$fitted.values)
[1] 0.3774195

All the coefficients are statistically significant (refer to next tab). The most influential explanatory variables are distance, destination train exit count and destination school count with coefficients of -1.51, 0.49 and 0.29 respectively.

orcSIM$coefficients[818:823]
log(DESTIN_TRAIN_EXIT_CT)  log(DESTIN_PRESCHOOL_CT)   log(DESTIN_BUSINESS_CT) 
              0.492156514               0.006870959               0.069866041 
   log(DESTIN_FINSERV_CT)        log(DESTIN_SCH_CT)                 log(dist) 
              0.238240503               0.293176283              -1.506419630 
summary(orcSIM)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + log(DESTIN_TRAIN_EXIT_CT) + 
    log(DESTIN_PRESCHOOL_CT) + log(DESTIN_BUSINESS_CT) + log(DESTIN_FINSERV_CT) + 
    log(DESTIN_SCH_CT) + log(dist) - 1, family = poisson(link = "log"), 
    data = flow_data1, na.action = na.exclude)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-267.63   -11.13    -4.56     1.46   426.19  

Coefficients:
                            Estimate Std. Error   z value Pr(>|z|)    
ORIGIN_GRID_ID23          14.2451175  0.1280578   111.240   <2e-16 ***
ORIGIN_GRID_ID44          14.9017180  0.1525180    97.705   <2e-16 ***
ORIGIN_GRID_ID46          13.8416319  0.0971519   142.474   <2e-16 ***
ORIGIN_GRID_ID66          14.5827381  0.1348610   108.132   <2e-16 ***
ORIGIN_GRID_ID67          15.6088559  0.0270738   576.529   <2e-16 ***
ORIGIN_GRID_ID68          13.2697276  0.1147267   115.664   <2e-16 ***
ORIGIN_GRID_ID86          14.1222438  0.0860897   164.041   <2e-16 ***
ORIGIN_GRID_ID87          15.8753002  0.0769632   206.271   <2e-16 ***
ORIGIN_GRID_ID88          16.0375415  0.0202271   792.873   <2e-16 ***
ORIGIN_GRID_ID89          14.1386759  0.0503571   280.768   <2e-16 ***
ORIGIN_GRID_ID90          13.2594056  0.1302055   101.834   <2e-16 ***
ORIGIN_GRID_ID109         13.8867955  0.1066208   130.245   <2e-16 ***
ORIGIN_GRID_ID110         14.1451772  0.0808725   174.907   <2e-16 ***
ORIGIN_GRID_ID111         17.0259424  0.0120980  1407.338   <2e-16 ***
ORIGIN_GRID_ID112         13.4360480  0.0718264   187.063   <2e-16 ***
ORIGIN_GRID_ID128         16.4957690  0.0255207   646.368   <2e-16 ***
ORIGIN_GRID_ID129         13.6803266  0.1889960    72.384   <2e-16 ***
ORIGIN_GRID_ID130         14.5702180  0.0558521   260.871   <2e-16 ***
ORIGIN_GRID_ID131         15.3293744  0.0324635   472.204   <2e-16 ***
ORIGIN_GRID_ID132         13.9519453  0.0567443   245.874   <2e-16 ***
ORIGIN_GRID_ID133         13.9369330  0.0427284   326.175   <2e-16 ***
ORIGIN_GRID_ID134         16.2067152  0.0262291   617.891   <2e-16 ***
ORIGIN_GRID_ID150         16.7308526  0.0213193   784.774   <2e-16 ***
ORIGIN_GRID_ID151         13.5327254  0.0822251   164.581   <2e-16 ***
ORIGIN_GRID_ID152         13.3504455  0.0870626   153.343   <2e-16 ***
ORIGIN_GRID_ID153         14.5042281  0.0451310   321.381   <2e-16 ***
ORIGIN_GRID_ID154         17.0687992  0.0096105  1776.064   <2e-16 ***
ORIGIN_GRID_ID155         13.9027121  0.0396143   350.952   <2e-16 ***
ORIGIN_GRID_ID156         14.5736556  0.0549191   265.366   <2e-16 ***
ORIGIN_GRID_ID172         15.4120143  0.0668516   230.541   <2e-16 ***
ORIGIN_GRID_ID174         14.3767175  0.0481532   298.562   <2e-16 ***
ORIGIN_GRID_ID175         16.5702598  0.0106628  1554.027   <2e-16 ***
ORIGIN_GRID_ID176         17.6450750  0.0066238  2663.895   <2e-16 ***
ORIGIN_GRID_ID195         13.2808952  0.0877278   151.387   <2e-16 ***
ORIGIN_GRID_ID196         13.8961090  0.0429643   323.433   <2e-16 ***
ORIGIN_GRID_ID197         12.9514365  0.1336462    96.908   <2e-16 ***
ORIGIN_GRID_ID215         14.0654132  0.0985571   142.713   <2e-16 ***
ORIGIN_GRID_ID216         18.0125123  0.0055704  3233.591   <2e-16 ***
ORIGIN_GRID_ID217         15.2619093  0.0222771   685.094   <2e-16 ***
ORIGIN_GRID_ID237         13.6055930  0.3015202    45.123   <2e-16 ***
ORIGIN_GRID_ID238         13.6194592  0.0762793   178.547   <2e-16 ***
ORIGIN_GRID_ID239         13.8770945  0.1443546    96.132   <2e-16 ***
ORIGIN_GRID_ID257         14.1642064  0.0622926   227.382   <2e-16 ***
ORIGIN_GRID_ID258         14.8953315  0.0289287   514.899   <2e-16 ***
ORIGIN_GRID_ID259         14.6367426  0.0413285   354.156   <2e-16 ***
ORIGIN_GRID_ID278         15.6498051  0.0374813   417.536   <2e-16 ***
ORIGIN_GRID_ID279         13.5977892  0.0487802   278.757   <2e-16 ***
ORIGIN_GRID_ID280         13.9864706  0.0506168   276.321   <2e-16 ***
ORIGIN_GRID_ID298         11.2780623  0.3779700    29.839   <2e-16 ***
ORIGIN_GRID_ID299         13.6961231  0.0597967   229.045   <2e-16 ***
ORIGIN_GRID_ID300         17.0659981  0.0088251  1933.809   <2e-16 ***
ORIGIN_GRID_ID320         14.2672705  0.0520260   274.234   <2e-16 ***
ORIGIN_GRID_ID321         14.1540763  0.0803485   176.159   <2e-16 ***
ORIGIN_GRID_ID322         15.5640058  0.0411565   378.167   <2e-16 ***
ORIGIN_GRID_ID340         15.6839065  0.0311684   503.199   <2e-16 ***
ORIGIN_GRID_ID341         13.9808442  0.0504853   276.929   <2e-16 ***
ORIGIN_GRID_ID342         14.7312414  0.0428850   343.505   <2e-16 ***
ORIGIN_GRID_ID363         15.4295844  0.0400190   385.556   <2e-16 ***
ORIGIN_GRID_ID364         15.2222753  0.0275907   551.718   <2e-16 ***
ORIGIN_GRID_ID383         14.8162818  0.0338898   437.190   <2e-16 ***
ORIGIN_GRID_ID384         13.7784216  0.0526704   261.597   <2e-16 ***
ORIGIN_GRID_ID385         13.9624879  0.0700398   199.351   <2e-16 ***
ORIGIN_GRID_ID404         15.7002804  0.0306507   512.232   <2e-16 ***
ORIGIN_GRID_ID405         14.6953295  0.0562912   261.059   <2e-16 ***
ORIGIN_GRID_ID406         18.9693855  0.0032442  5847.103   <2e-16 ***
ORIGIN_GRID_ID407         14.7927858  0.0497349   297.433   <2e-16 ***
ORIGIN_GRID_ID408         15.5463440  0.0254762   610.230   <2e-16 ***
ORIGIN_GRID_ID425         13.0574115  0.1037143   125.898   <2e-16 ***
ORIGIN_GRID_ID426         14.9468933  0.0311938   479.163   <2e-16 ***
ORIGIN_GRID_ID427         13.5834559  0.0487232   278.788   <2e-16 ***
ORIGIN_GRID_ID428         13.1128677  0.1250189   104.887   <2e-16 ***
ORIGIN_GRID_ID429         16.0302696  0.0216242   741.311   <2e-16 ***
ORIGIN_GRID_ID446         14.2636375  0.0712789   200.110   <2e-16 ***
ORIGIN_GRID_ID447         14.2033528  0.0412555   344.278   <2e-16 ***
ORIGIN_GRID_ID448         14.9973934  0.0282035   531.757   <2e-16 ***
ORIGIN_GRID_ID449         17.7525565  0.0066921  2652.750   <2e-16 ***
ORIGIN_GRID_ID450         15.6239824  0.0207544   752.805   <2e-16 ***
ORIGIN_GRID_ID468         14.9242353  0.0330694   451.301   <2e-16 ***
ORIGIN_GRID_ID469         15.8970418  0.0157313  1010.537   <2e-16 ***
ORIGIN_GRID_ID470         18.0830012  0.0050279  3596.505   <2e-16 ***
ORIGIN_GRID_ID471         16.3700698  0.0176829   925.756   <2e-16 ***
ORIGIN_GRID_ID488         14.6306740  0.0593772   246.402   <2e-16 ***
ORIGIN_GRID_ID489         12.0746590  0.1690428    71.430   <2e-16 ***
ORIGIN_GRID_ID490         16.4783227  0.0127206  1295.402   <2e-16 ***
ORIGIN_GRID_ID491         16.9643794  0.0081630  2078.215   <2e-16 ***
ORIGIN_GRID_ID493         11.6561974  0.2182279    53.413   <2e-16 ***
ORIGIN_GRID_ID494         13.6315522  0.0795839   171.285   <2e-16 ***
ORIGIN_GRID_ID509         14.7963369  0.0389783   379.605   <2e-16 ***
ORIGIN_GRID_ID510         15.4297685  0.0270183   571.086   <2e-16 ***
ORIGIN_GRID_ID511         16.0561083  0.0116733  1375.458   <2e-16 ***
ORIGIN_GRID_ID512         18.5898371  0.0037316  4981.722   <2e-16 ***
ORIGIN_GRID_ID513         15.3143949  0.0277209   552.449   <2e-16 ***
ORIGIN_GRID_ID514         14.0323726  0.0557670   251.625   <2e-16 ***
ORIGIN_GRID_ID515         12.1665310  0.2236167    54.408   <2e-16 ***
ORIGIN_GRID_ID530         13.9406411  0.0905594   153.939   <2e-16 ***
ORIGIN_GRID_ID531         15.2947538  0.0205992   742.494   <2e-16 ***
ORIGIN_GRID_ID532         14.5816153  0.0272166   535.761   <2e-16 ***
ORIGIN_GRID_ID533         18.3661435  0.0038007  4832.323   <2e-16 ***
ORIGIN_GRID_ID534         18.7534090  0.0040803  4596.044   <2e-16 ***
ORIGIN_GRID_ID536         15.4343822  0.0272831   565.711   <2e-16 ***
ORIGIN_GRID_ID537         12.4491355  0.1924616    64.684   <2e-16 ***
ORIGIN_GRID_ID538         12.7884778  0.2582100    49.527   <2e-16 ***
ORIGIN_GRID_ID539         12.3803686  1.0000029    12.380   <2e-16 ***
ORIGIN_GRID_ID551         14.3030229  0.0570147   250.866   <2e-16 ***
ORIGIN_GRID_ID552         15.7846197  0.0376917   418.782   <2e-16 ***
ORIGIN_GRID_ID553         15.0241196  0.0188993   794.957   <2e-16 ***
ORIGIN_GRID_ID554         18.3229635  0.0040238  4553.614   <2e-16 ***
ORIGIN_GRID_ID555         17.6223206  0.0078399  2247.784   <2e-16 ***
ORIGIN_GRID_ID559         13.5823702  0.1066217   127.388   <2e-16 ***
ORIGIN_GRID_ID560         15.5058420  0.0568485   272.757   <2e-16 ***
ORIGIN_GRID_ID561          9.9062088  1.0000018     9.906   <2e-16 ***
ORIGIN_GRID_ID572         10.6508472  0.5773538    18.448   <2e-16 ***
ORIGIN_GRID_ID573         14.0742282  0.0477148   294.966   <2e-16 ***
ORIGIN_GRID_ID574         15.0248881  0.0383198   392.092   <2e-16 ***
ORIGIN_GRID_ID575         19.1952489  0.0028393  6760.592   <2e-16 ***
ORIGIN_GRID_ID576         17.8250380  0.0053514  3330.939   <2e-16 ***
ORIGIN_GRID_ID578         13.1047360  0.1042786   125.670   <2e-16 ***
ORIGIN_GRID_ID582         13.3678316  0.1097837   121.765   <2e-16 ***
ORIGIN_GRID_ID583         13.1607900  0.5773559    22.795   <2e-16 ***
ORIGIN_GRID_ID584         16.3280828  0.0586798   278.257   <2e-16 ***
ORIGIN_GRID_ID593         14.3472750  0.0523865   273.873   <2e-16 ***
ORIGIN_GRID_ID594         15.3220391  0.0265944   576.139   <2e-16 ***
ORIGIN_GRID_ID595         14.8461706  0.0201403   737.136   <2e-16 ***
ORIGIN_GRID_ID596         17.6510301  0.0047349  3727.877   <2e-16 ***
ORIGIN_GRID_ID597         14.5255977  0.0613520   236.758   <2e-16 ***
ORIGIN_GRID_ID603         13.5009558  0.1178705   114.541   <2e-16 ***
ORIGIN_GRID_ID604         13.9893531  0.1924672    72.684   <2e-16 ***
ORIGIN_GRID_ID615         13.5537040  0.0508752   266.411   <2e-16 ***
ORIGIN_GRID_ID616         14.5370826  0.0330696   439.591   <2e-16 ***
ORIGIN_GRID_ID617         15.3499273  0.0194381   789.684   <2e-16 ***
ORIGIN_GRID_ID618         18.2096130  0.0041878  4348.275   <2e-16 ***
ORIGIN_GRID_ID620         15.3416595  0.0323407   474.376   <2e-16 ***
ORIGIN_GRID_ID637         13.9655662  0.0455943   306.301   <2e-16 ***
ORIGIN_GRID_ID638         17.7580489  0.0045821  3875.491   <2e-16 ***
ORIGIN_GRID_ID657         15.6795287  0.0174844   896.770   <2e-16 ***
ORIGIN_GRID_ID658         17.0206852  0.0067936  2505.388   <2e-16 ***
ORIGIN_GRID_ID659         17.3489636  0.0058195  2981.200   <2e-16 ***
ORIGIN_GRID_ID660         18.2707570  0.0038484  4747.686   <2e-16 ***
ORIGIN_GRID_ID662         18.0540697  0.0072726  2482.475   <2e-16 ***
ORIGIN_GRID_ID677         15.7138065  0.0238974   657.554   <2e-16 ***
ORIGIN_GRID_ID678         13.5378729  0.0501073   270.178   <2e-16 ***
ORIGIN_GRID_ID679         18.1888529  0.0040354  4507.310   <2e-16 ***
ORIGIN_GRID_ID680         18.2439364  0.0040227  4535.208   <2e-16 ***
ORIGIN_GRID_ID681         17.3125053  0.0089376  1937.052   <2e-16 ***
ORIGIN_GRID_ID699         15.1870432  0.0239110   635.149   <2e-16 ***
ORIGIN_GRID_ID700         17.2074468  0.0065409  2630.765   <2e-16 ***
ORIGIN_GRID_ID701         17.2993621  0.0065823  2628.155   <2e-16 ***
ORIGIN_GRID_ID702         18.1248396  0.0040088  4521.208   <2e-16 ***
ORIGIN_GRID_ID704         14.8882060  0.0344491   432.180   <2e-16 ***
ORIGIN_GRID_ID722         14.9954163  0.0207384   723.075   <2e-16 ***
ORIGIN_GRID_ID725         14.4419247  0.0419772   344.042   <2e-16 ***
ORIGIN_GRID_ID741         15.7987398  0.0169663   931.183   <2e-16 ***
ORIGIN_GRID_ID743         15.5303683  0.0136350  1139.008   <2e-16 ***
ORIGIN_GRID_ID744         17.5300735  0.0051503  3403.707   <2e-16 ***
ORIGIN_GRID_ID761         15.2343874  0.0305334   498.942   <2e-16 ***
ORIGIN_GRID_ID762         17.2428026  0.0075458  2285.093   <2e-16 ***
ORIGIN_GRID_ID763         14.0213451  0.0305308   459.252   <2e-16 ***
ORIGIN_GRID_ID764         17.9975209  0.0039919  4508.507   <2e-16 ***
ORIGIN_GRID_ID765         17.3232124  0.0088467  1958.161   <2e-16 ***
ORIGIN_GRID_ID767         18.6822161  0.0041205  4533.987   <2e-16 ***
ORIGIN_GRID_ID772         13.5315819  0.0816780   165.670   <2e-16 ***
ORIGIN_GRID_ID784         14.0812024  0.0287647   489.531   <2e-16 ***
ORIGIN_GRID_ID785         17.2967402  0.0048161  3591.408   <2e-16 ***
ORIGIN_GRID_ID786         16.8391374  0.0065861  2556.779   <2e-16 ***
ORIGIN_GRID_ID787         17.4479243  0.0077286  2257.582   <2e-16 ***
ORIGIN_GRID_ID788         17.9821264  0.0057456  3129.698   <2e-16 ***
ORIGIN_GRID_ID789         16.6047313  0.0112362  1477.795   <2e-16 ***
ORIGIN_GRID_ID803         13.4571515  0.0647184   207.934   <2e-16 ***
ORIGIN_GRID_ID804         18.1428701  0.0045475  3989.633   <2e-16 ***
ORIGIN_GRID_ID805         17.9841194  0.0038958  4616.245   <2e-16 ***
ORIGIN_GRID_ID806         17.4842677  0.0047984  3643.751   <2e-16 ***
ORIGIN_GRID_ID807         18.3543240  0.0046069  3984.064   <2e-16 ***
ORIGIN_GRID_ID808         16.6664151  0.0116512  1430.441   <2e-16 ***
ORIGIN_GRID_ID809         18.2269129  0.0039204  4649.216   <2e-16 ***
ORIGIN_GRID_ID810         17.5540710  0.0061040  2875.834   <2e-16 ***
ORIGIN_GRID_ID814         15.1810820  0.0278128   545.831   <2e-16 ***
ORIGIN_GRID_ID819         19.7307746  0.0193330  1020.575   <2e-16 ***
ORIGIN_GRID_ID824         14.4669486  0.0421611   343.135   <2e-16 ***
ORIGIN_GRID_ID826         15.6643387  0.0109143  1435.206   <2e-16 ***
ORIGIN_GRID_ID827         17.7378500  0.0043281  4098.304   <2e-16 ***
ORIGIN_GRID_ID828         17.8134466  0.0042095  4231.708   <2e-16 ***
ORIGIN_GRID_ID829         17.8472752  0.0050041  3566.542   <2e-16 ***
ORIGIN_GRID_ID830         17.9265760  0.0054247  3304.631   <2e-16 ***
ORIGIN_GRID_ID831         18.6478563  0.0034163  5458.481   <2e-16 ***
ORIGIN_GRID_ID832         17.7657923  0.0068185  2605.544   <2e-16 ***
ORIGIN_GRID_ID835         15.1725472  0.0297164   510.578   <2e-16 ***
ORIGIN_GRID_ID844         13.5569360  0.0781173   173.546   <2e-16 ***
ORIGIN_GRID_ID846         17.1754370  0.0058519  2935.043   <2e-16 ***
ORIGIN_GRID_ID847         15.9582774  0.0105858  1507.524   <2e-16 ***
ORIGIN_GRID_ID848         17.2919486  0.0053106  3256.098   <2e-16 ***
ORIGIN_GRID_ID849         16.4570173  0.0082684  1990.348   <2e-16 ***
ORIGIN_GRID_ID850         17.1900995  0.0060909  2822.242   <2e-16 ***
ORIGIN_GRID_ID851         17.7015099  0.0045916  3855.211   <2e-16 ***
ORIGIN_GRID_ID852         17.1785210  0.0065687  2615.212   <2e-16 ***
ORIGIN_GRID_ID853         19.0757214  0.0040162  4749.703   <2e-16 ***
ORIGIN_GRID_ID854         15.4067103  0.0263524   584.643   <2e-16 ***
ORIGIN_GRID_ID855         14.1597407  0.0455946   310.558   <2e-16 ***
ORIGIN_GRID_ID856         15.8127589  0.0187129   845.020   <2e-16 ***
ORIGIN_GRID_ID866         15.1733375  0.0286619   529.391   <2e-16 ***
ORIGIN_GRID_ID867         15.9661696  0.0126869  1258.479   <2e-16 ***
ORIGIN_GRID_ID868         14.9686580  0.0220228   679.690   <2e-16 ***
ORIGIN_GRID_ID869         17.9011738  0.0061764  2898.341   <2e-16 ***
ORIGIN_GRID_ID870         18.3029932  0.0034993  5230.417   <2e-16 ***
ORIGIN_GRID_ID871         17.8147571  0.0063159  2820.630   <2e-16 ***
ORIGIN_GRID_ID872         15.8926714  0.0120031  1324.044   <2e-16 ***
ORIGIN_GRID_ID873         16.1570535  0.0109536  1475.039   <2e-16 ***
ORIGIN_GRID_ID874         16.5276135  0.0084809  1948.798   <2e-16 ***
ORIGIN_GRID_ID875         13.4683734  0.0697046   193.221   <2e-16 ***
ORIGIN_GRID_ID876         14.6382364  0.0315332   464.217   <2e-16 ***
ORIGIN_GRID_ID877         13.9304756  0.0429206   324.564   <2e-16 ***
ORIGIN_GRID_ID887         15.6805940  0.0143171  1095.236   <2e-16 ***
ORIGIN_GRID_ID888         16.8378080  0.0077649  2168.448   <2e-16 ***
ORIGIN_GRID_ID889         14.0550843  0.0349641   401.986   <2e-16 ***
ORIGIN_GRID_ID890         17.8809204  0.0041574  4300.939   <2e-16 ***
ORIGIN_GRID_ID891         16.6618380  0.0117727  1415.298   <2e-16 ***
ORIGIN_GRID_ID893         17.7325033  0.0044407  3993.159   <2e-16 ***
ORIGIN_GRID_ID894         16.0497208  0.0109715  1462.858   <2e-16 ***
ORIGIN_GRID_ID895         15.6805458  0.0158569   988.880   <2e-16 ***
ORIGIN_GRID_ID896         14.7503114  0.0312809   471.544   <2e-16 ***
ORIGIN_GRID_ID897         12.8893467  0.0749790   171.906   <2e-16 ***
ORIGIN_GRID_ID898         14.8048067  0.0332686   445.008   <2e-16 ***
ORIGIN_GRID_ID908         16.8863752  0.0129553  1303.430   <2e-16 ***
ORIGIN_GRID_ID909         16.9089072  0.0063529  2661.590   <2e-16 ***
ORIGIN_GRID_ID910         15.1070021  0.0173971   868.362   <2e-16 ***
ORIGIN_GRID_ID911         16.3074514  0.0095616  1705.511   <2e-16 ***
ORIGIN_GRID_ID912         17.5713512  0.0047289  3715.748   <2e-16 ***
ORIGIN_GRID_ID915         17.6769898  0.0047406  3728.843   <2e-16 ***
ORIGIN_GRID_ID917         17.2504355  0.0074969  2301.006   <2e-16 ***
ORIGIN_GRID_ID918         13.7159455  0.0418266   327.924   <2e-16 ***
ORIGIN_GRID_ID919         17.0002329  0.0092893  1830.093   <2e-16 ***
ORIGIN_GRID_ID928         15.9971269  0.0151922  1052.983   <2e-16 ***
ORIGIN_GRID_ID929         17.3961580  0.0049579  3508.778   <2e-16 ***
ORIGIN_GRID_ID930         18.0672383  0.0035650  5067.982   <2e-16 ***
ORIGIN_GRID_ID931         15.1570526  0.0183782   824.732   <2e-16 ***
ORIGIN_GRID_ID932         15.6964026  0.0185231   847.396   <2e-16 ***
ORIGIN_GRID_ID933         17.3605527  0.0061017  2845.198   <2e-16 ***
ORIGIN_GRID_ID934         14.8466640  0.0203768   728.606   <2e-16 ***
ORIGIN_GRID_ID935         18.4642003  0.0035187  5247.514   <2e-16 ***
ORIGIN_GRID_ID938         11.5253619  0.2773572    41.554   <2e-16 ***
ORIGIN_GRID_ID939         18.4126896  0.0042938  4288.154   <2e-16 ***
ORIGIN_GRID_ID940         13.1812247  0.0945129   139.465   <2e-16 ***
ORIGIN_GRID_ID949         15.6962685  0.0148774  1055.038   <2e-16 ***
ORIGIN_GRID_ID950         17.6851223  0.0054438  3248.668   <2e-16 ***
ORIGIN_GRID_ID951         18.5556438  0.0032329  5739.581   <2e-16 ***
ORIGIN_GRID_ID952         15.5094972  0.0225702   687.166   <2e-16 ***
ORIGIN_GRID_ID953         16.4126656  0.0103696  1582.763   <2e-16 ***
ORIGIN_GRID_ID954         14.9348942  0.0184805   808.143   <2e-16 ***
ORIGIN_GRID_ID955         17.1561890  0.0061661  2782.319   <2e-16 ***
ORIGIN_GRID_ID956         15.6516609  0.0124231  1259.883   <2e-16 ***
ORIGIN_GRID_ID957         17.6012753  0.0060500  2909.322   <2e-16 ***
ORIGIN_GRID_ID959         14.5311537  0.0535671   271.270   <2e-16 ***
ORIGIN_GRID_ID961         14.0809281  0.0357937   393.391   <2e-16 ***
ORIGIN_GRID_ID962         20.2280658  0.0053043  3813.538   <2e-16 ***
ORIGIN_GRID_ID970         16.3144233  0.0087393  1866.784   <2e-16 ***
ORIGIN_GRID_ID971         17.5085776  0.0043044  4067.601   <2e-16 ***
ORIGIN_GRID_ID972         17.3938604  0.0051093  3404.383   <2e-16 ***
ORIGIN_GRID_ID974         16.6638272  0.0079774  2088.875   <2e-16 ***
ORIGIN_GRID_ID975         16.2990423  0.0095357  1709.262   <2e-16 ***
ORIGIN_GRID_ID976         15.0474774  0.0175478   857.514   <2e-16 ***
ORIGIN_GRID_ID977         18.0505873  0.0041061  4396.053   <2e-16 ***
ORIGIN_GRID_ID978         17.7187382  0.0072608  2440.321   <2e-16 ***
ORIGIN_GRID_ID982         15.3791793  0.0168707   911.591   <2e-16 ***
ORIGIN_GRID_ID983         19.6165133  0.0040877  4798.937   <2e-16 ***
ORIGIN_GRID_ID984         20.8246831  0.0042068  4950.205   <2e-16 ***
ORIGIN_GRID_ID991         16.1758763  0.0099366  1627.914   <2e-16 ***
ORIGIN_GRID_ID992         16.6321634  0.0073954  2248.982   <2e-16 ***
ORIGIN_GRID_ID993         16.1916552  0.0082679  1958.378   <2e-16 ***
ORIGIN_GRID_ID994         15.6999363  0.0120264  1305.455   <2e-16 ***
ORIGIN_GRID_ID995         17.0469424  0.0061167  2786.957   <2e-16 ***
ORIGIN_GRID_ID996         16.5744834  0.0083575  1983.186   <2e-16 ***
ORIGIN_GRID_ID997         15.2759456  0.0299495   510.057   <2e-16 ***
ORIGIN_GRID_ID998         18.1349592  0.0042813  4235.812   <2e-16 ***
ORIGIN_GRID_ID999         18.0013431  0.0059399  3030.587   <2e-16 ***
ORIGIN_GRID_ID1001        15.4978076  0.0258063   600.545   <2e-16 ***
ORIGIN_GRID_ID1003        18.0000053  0.0046453  3874.905   <2e-16 ***
ORIGIN_GRID_ID1004        18.8875109  0.0034331  5501.655   <2e-16 ***
ORIGIN_GRID_ID1011        14.8968603  0.0344161   432.845   <2e-16 ***
ORIGIN_GRID_ID1012        14.0527556  0.0418286   335.961   <2e-16 ***
ORIGIN_GRID_ID1013        14.8619614  0.0190716   779.272   <2e-16 ***
ORIGIN_GRID_ID1014        15.6252895  0.0120053  1301.535   <2e-16 ***
ORIGIN_GRID_ID1015        14.9322740  0.0188429   792.463   <2e-16 ***
ORIGIN_GRID_ID1016        16.5302993  0.0082082  2013.878   <2e-16 ***
ORIGIN_GRID_ID1018        17.1362383  0.0101769  1683.839   <2e-16 ***
ORIGIN_GRID_ID1019        18.4169842  0.0050934  3615.845   <2e-16 ***
ORIGIN_GRID_ID1023        17.0698823  0.0096733  1764.635   <2e-16 ***
ORIGIN_GRID_ID1024        18.0815758  0.0047588  3799.604   <2e-16 ***
ORIGIN_GRID_ID1025        13.3740004  0.0679170   196.917   <2e-16 ***
ORIGIN_GRID_ID1033        15.5990674  0.0131995  1181.796   <2e-16 ***
ORIGIN_GRID_ID1034        16.4179635  0.0080575  2037.603   <2e-16 ***
ORIGIN_GRID_ID1035        17.1063245  0.0058722  2913.122   <2e-16 ***
ORIGIN_GRID_ID1036        14.8756444  0.0183647   810.015   <2e-16 ***
ORIGIN_GRID_ID1037        16.2950958  0.0080017  2036.448   <2e-16 ***
ORIGIN_GRID_ID1043        15.5528798  0.0264918   587.083   <2e-16 ***
ORIGIN_GRID_ID1045        17.7657388  0.0048230  3683.569   <2e-16 ***
ORIGIN_GRID_ID1046        17.7677341  0.0054863  3238.572   <2e-16 ***
ORIGIN_GRID_ID1053        17.0492832  0.0063301  2693.359   <2e-16 ***
ORIGIN_GRID_ID1054        16.0434063  0.0094625  1695.473   <2e-16 ***
ORIGIN_GRID_ID1055        17.0894463  0.0056993  2998.507   <2e-16 ***
ORIGIN_GRID_ID1056        15.9528073  0.0101863  1566.106   <2e-16 ***
ORIGIN_GRID_ID1064        12.6204987  0.2582093    48.877   <2e-16 ***
ORIGIN_GRID_ID1066        17.5808656  0.0053893  3262.178   <2e-16 ***
ORIGIN_GRID_ID1067        12.1080898  0.2041348    59.314   <2e-16 ***
ORIGIN_GRID_ID1074        16.5259309  0.0085831  1925.396   <2e-16 ***
ORIGIN_GRID_ID1075        15.7812503  0.0122232  1291.090   <2e-16 ***
ORIGIN_GRID_ID1076        15.8164945  0.0095268  1660.207   <2e-16 ***
ORIGIN_GRID_ID1077        15.8117841  0.0113678  1390.927   <2e-16 ***
ORIGIN_GRID_ID1079        17.1235770  0.0060388  2835.605   <2e-16 ***
ORIGIN_GRID_ID1085        12.8100492  0.1796175    71.318   <2e-16 ***
ORIGIN_GRID_ID1087        17.6759167  0.0060759  2909.168   <2e-16 ***
ORIGIN_GRID_ID1088        16.1727802  0.0125817  1285.416   <2e-16 ***
ORIGIN_GRID_ID1094        14.5954630  0.0496823   293.776   <2e-16 ***
ORIGIN_GRID_ID1095        14.0403575  0.0442392   317.374   <2e-16 ***
ORIGIN_GRID_ID1096        15.4968823  0.0225906   685.988   <2e-16 ***
ORIGIN_GRID_ID1097        17.5426136  0.0042426  4134.886   <2e-16 ***
ORIGIN_GRID_ID1098        14.9352904  0.0200658   744.316   <2e-16 ***
ORIGIN_GRID_ID1099        16.5542420  0.0075442  2194.307   <2e-16 ***
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ORIGIN_GRID_ID1107        15.2019554  0.0309146   491.741   <2e-16 ***
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ORIGIN_GRID_ID1109        14.8920609  0.0280518   530.877   <2e-16 ***
ORIGIN_GRID_ID1116        16.2816204  0.0095296  1708.530   <2e-16 ***
ORIGIN_GRID_ID1117        14.3024362  0.0230075   621.641   <2e-16 ***
ORIGIN_GRID_ID1118        14.7064264  0.0206825   711.056   <2e-16 ***
ORIGIN_GRID_ID1119        15.5462158  0.0114503  1357.708   <2e-16 ***
ORIGIN_GRID_ID1120        15.5109387  0.0147893  1048.795   <2e-16 ***
ORIGIN_GRID_ID1129        17.9434691  0.0049768  3605.389   <2e-16 ***
ORIGIN_GRID_ID1130        18.2243182  0.0042446  4293.540   <2e-16 ***
ORIGIN_GRID_ID1131        15.9885622  0.0176500   905.870   <2e-16 ***
ORIGIN_GRID_ID1136        15.2623951  0.0157885   966.680   <2e-16 ***
ORIGIN_GRID_ID1138        13.7507982  0.0406410   338.348   <2e-16 ***
ORIGIN_GRID_ID1139        16.7567951  0.0058367  2870.929   <2e-16 ***
ORIGIN_GRID_ID1141        16.7599501  0.0070031  2393.226   <2e-16 ***
ORIGIN_GRID_ID1148        14.6181755  0.0552656   264.508   <2e-16 ***
ORIGIN_GRID_ID1149        15.6699483  0.0201119   779.138   <2e-16 ***
ORIGIN_GRID_ID1150        18.2630726  0.0039189  4660.295   <2e-16 ***
ORIGIN_GRID_ID1151        17.3338057  0.0068409  2533.855   <2e-16 ***
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ORIGIN_GRID_ID1159        16.5980461  0.0063790  2601.989   <2e-16 ***
ORIGIN_GRID_ID1160        17.4554035  0.0043351  4026.542   <2e-16 ***
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ORIGIN_GRID_ID1172        18.3175922  0.0041240  4441.732   <2e-16 ***
ORIGIN_GRID_ID1173        16.0262204  0.0136856  1171.027   <2e-16 ***
ORIGIN_GRID_ID1174        12.4266284  0.2582065    48.127   <2e-16 ***
ORIGIN_GRID_ID1178        15.4637874  0.0120600  1282.238   <2e-16 ***
ORIGIN_GRID_ID1179        16.1188222  0.0080372  2005.516   <2e-16 ***
ORIGIN_GRID_ID1180        17.0663933  0.0050026  3411.489   <2e-16 ***
ORIGIN_GRID_ID1181        16.2096781  0.0074509  2175.536   <2e-16 ***
ORIGIN_GRID_ID1183        15.2471728  0.0145962  1044.599   <2e-16 ***
ORIGIN_GRID_ID1190        14.6628397  0.0506860   289.288   <2e-16 ***
ORIGIN_GRID_ID1192        17.5903037  0.0067459  2607.554   <2e-16 ***
ORIGIN_GRID_ID1193        17.5825377  0.0056418  3116.502   <2e-16 ***
ORIGIN_GRID_ID1194        15.7972681  0.0157053  1005.856   <2e-16 ***
ORIGIN_GRID_ID1200        16.4529011  0.0074885  2197.095   <2e-16 ***
ORIGIN_GRID_ID1201        16.0972617  0.0081862  1966.381   <2e-16 ***
ORIGIN_GRID_ID1203        16.6339373  0.0066649  2495.760   <2e-16 ***
ORIGIN_GRID_ID1204        16.6481020  0.0070943  2346.688   <2e-16 ***
ORIGIN_GRID_ID1211        12.3990329  0.2182281    56.817   <2e-16 ***
ORIGIN_GRID_ID1214        18.1774786  0.0044162  4116.076   <2e-16 ***
ORIGIN_GRID_ID1215        14.8980924  0.0443762   335.722   <2e-16 ***
ORIGIN_GRID_ID1216        14.2145982  0.0445488   319.079   <2e-16 ***
ORIGIN_GRID_ID1220        17.2931059  0.0049274  3509.550   <2e-16 ***
ORIGIN_GRID_ID1221        16.9156064  0.0052663  3212.062   <2e-16 ***
ORIGIN_GRID_ID1222        16.5750404  0.0107680  1539.280   <2e-16 ***
ORIGIN_GRID_ID1223        14.6211871  0.0192679   758.835   <2e-16 ***
ORIGIN_GRID_ID1224        15.4541283  0.0119980  1288.060   <2e-16 ***
ORIGIN_GRID_ID1231        12.0962247  0.2000110    60.478   <2e-16 ***
ORIGIN_GRID_ID1232        13.9889198  0.1066261   131.196   <2e-16 ***
ORIGIN_GRID_ID1235        15.6665412  0.0143997  1087.980   <2e-16 ***
ORIGIN_GRID_ID1236        15.8880084  0.0153300  1036.403   <2e-16 ***
ORIGIN_GRID_ID1241        15.5032640  0.0117776  1316.330   <2e-16 ***
ORIGIN_GRID_ID1242        16.2767651  0.0076355  2131.709   <2e-16 ***
ORIGIN_GRID_ID1243        16.7008614  0.0057020  2928.954   <2e-16 ***
ORIGIN_GRID_ID1246        15.6468183  0.0105998  1476.140   <2e-16 ***
ORIGIN_GRID_ID1256        17.0372648  0.0077911  2186.771   <2e-16 ***
ORIGIN_GRID_ID1257        18.0108413  0.0055294  3257.274   <2e-16 ***
ORIGIN_GRID_ID1258        15.9843321  0.0151613  1054.284   <2e-16 ***
ORIGIN_GRID_ID1262        16.0208048  0.0092303  1735.674   <2e-16 ***
ORIGIN_GRID_ID1263        16.3743978  0.0063841  2564.874   <2e-16 ***
ORIGIN_GRID_ID1264        15.2491561  0.0143179  1065.042   <2e-16 ***
ORIGIN_GRID_ID1265        14.6532400  0.0182108   804.644   <2e-16 ***
ORIGIN_GRID_ID1266        16.4057122  0.0083747  1958.965   <2e-16 ***
ORIGIN_GRID_ID1267        14.3323530  0.0332455   431.106   <2e-16 ***
ORIGIN_GRID_ID1272        12.0125320  0.1474567    81.465   <2e-16 ***
ORIGIN_GRID_ID1273        16.0072866  0.0133147  1202.230   <2e-16 ***
ORIGIN_GRID_ID1277        17.9268958  0.0044832  3998.641   <2e-16 ***
ORIGIN_GRID_ID1278        15.5984230  0.0149741  1041.694   <2e-16 ***
ORIGIN_GRID_ID1283        17.4750464  0.0046903  3725.801   <2e-16 ***
ORIGIN_GRID_ID1284        16.8390635  0.0055147  3053.495   <2e-16 ***
ORIGIN_GRID_ID1285        17.5011002  0.0041522  4214.911   <2e-16 ***
ORIGIN_GRID_ID1286        15.6079102  0.0121731  1282.167   <2e-16 ***
ORIGIN_GRID_ID1289        13.8291984  0.0543602   254.399   <2e-16 ***
ORIGIN_GRID_ID1293        13.4836384  0.0822287   163.977   <2e-16 ***
ORIGIN_GRID_ID1294        17.6160698  0.0065529  2688.291   <2e-16 ***
ORIGIN_GRID_ID1295        15.1319287  0.0227239   665.905   <2e-16 ***
ORIGIN_GRID_ID1298        16.9168831  0.0073225  2310.246   <2e-16 ***
ORIGIN_GRID_ID1299        17.5560434  0.0065486  2680.889   <2e-16 ***
ORIGIN_GRID_ID1304        17.4475747  0.0044806  3894.020   <2e-16 ***
ORIGIN_GRID_ID1305        16.8355117  0.0048918  3441.596   <2e-16 ***
ORIGIN_GRID_ID1307        12.7523195  0.0534180   238.727   <2e-16 ***
ORIGIN_GRID_ID1308        16.4931691  0.0071163  2317.665   <2e-16 ***
ORIGIN_GRID_ID1310        11.8443969  0.2357132    50.249   <2e-16 ***
ORIGIN_GRID_ID1316        14.1034330  0.0375950   375.142   <2e-16 ***
ORIGIN_GRID_ID1317        15.9725869  0.0123278  1295.658   <2e-16 ***
ORIGIN_GRID_ID1318        15.2630826  0.0175718   868.614   <2e-16 ***
ORIGIN_GRID_ID1319        18.1534440  0.0043023  4219.506   <2e-16 ***
ORIGIN_GRID_ID1320        16.9359819  0.0092557  1829.797   <2e-16 ***
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ORIGIN_GRID_ID1326        17.0018469  0.0047504  3579.035   <2e-16 ***
ORIGIN_GRID_ID1327        16.6271780  0.0053683  3097.271   <2e-16 ***
ORIGIN_GRID_ID1328        15.1218931  0.0112606  1342.900   <2e-16 ***
ORIGIN_GRID_ID1329        15.5556712  0.0132047  1178.045   <2e-16 ***
ORIGIN_GRID_ID1330        16.3714381  0.0091529  1788.661   <2e-16 ***
ORIGIN_GRID_ID1331        11.3039077  0.3333400    33.911   <2e-16 ***
ORIGIN_GRID_ID1333        15.6004291  0.0134669  1158.426   <2e-16 ***
ORIGIN_GRID_ID1334        15.8865608  0.0125150  1269.397   <2e-16 ***
ORIGIN_GRID_ID1335        15.3870509  0.0181481   847.858   <2e-16 ***
ORIGIN_GRID_ID1336        12.9630002  0.1386959    93.463   <2e-16 ***
ORIGIN_GRID_ID1337        13.4023439  0.0583662   229.625   <2e-16 ***
ORIGIN_GRID_ID1338        12.0729114  0.1170603   103.134   <2e-16 ***
ORIGIN_GRID_ID1339        17.9820689  0.0043399  4143.444   <2e-16 ***
ORIGIN_GRID_ID1340        16.5002487  0.0096601  1708.085   <2e-16 ***
ORIGIN_GRID_ID1341        13.6662040  0.2236187    61.114   <2e-16 ***
ORIGIN_GRID_ID1346        16.4588634  0.0071532  2300.921   <2e-16 ***
ORIGIN_GRID_ID1347        17.4091371  0.0041156  4230.085   <2e-16 ***
ORIGIN_GRID_ID1348        15.6736325  0.0074603  2100.950   <2e-16 ***
ORIGIN_GRID_ID1349        15.4908038  0.0097021  1596.648   <2e-16 ***
ORIGIN_GRID_ID1350        15.9203914  0.0118226  1346.607   <2e-16 ***
ORIGIN_GRID_ID1353        15.6684748  0.0109038  1436.968   <2e-16 ***
ORIGIN_GRID_ID1354        15.4181140  0.0139284  1106.955   <2e-16 ***
ORIGIN_GRID_ID1355        16.3100210  0.0092426  1764.654   <2e-16 ***
ORIGIN_GRID_ID1357        15.4145943  0.0206915   744.972   <2e-16 ***
ORIGIN_GRID_ID1358        16.6613082  0.0081435  2045.959   <2e-16 ***
ORIGIN_GRID_ID1359        17.2341963  0.0057723  2985.661   <2e-16 ***
ORIGIN_GRID_ID1360        17.3657711  0.0058648  2961.018   <2e-16 ***
ORIGIN_GRID_ID1361        18.3384263  0.0043988  4168.999   <2e-16 ***
ORIGIN_GRID_ID1362        14.7306459  0.0415464   354.559   <2e-16 ***
ORIGIN_GRID_ID1368        15.2840608  0.0097287  1571.022   <2e-16 ***
ORIGIN_GRID_ID1369        15.0033133  0.0105288  1424.975   <2e-16 ***
ORIGIN_GRID_ID1370        16.2730420  0.0059278  2745.193   <2e-16 ***
ORIGIN_GRID_ID1371        15.6654447  0.0112668  1390.412   <2e-16 ***
ORIGIN_GRID_ID1372        15.3660436  0.0140142  1096.463   <2e-16 ***
ORIGIN_GRID_ID1373        13.3268447  0.0527534   252.626   <2e-16 ***
ORIGIN_GRID_ID1374        15.1890676  0.0130282  1165.862   <2e-16 ***
ORIGIN_GRID_ID1375        16.6798721  0.0084530  1973.257   <2e-16 ***
ORIGIN_GRID_ID1376        16.0205479  0.0138804  1154.183   <2e-16 ***
ORIGIN_GRID_ID1379        14.5357689  0.0363150   400.269   <2e-16 ***
ORIGIN_GRID_ID1380        18.2832132  0.0036581  4998.028   <2e-16 ***
ORIGIN_GRID_ID1381        17.9489014  0.0042418  4231.440   <2e-16 ***
ORIGIN_GRID_ID1382        17.5304248  0.0066711  2627.808   <2e-16 ***
ORIGIN_GRID_ID1383        15.0687617  0.0257348   585.540   <2e-16 ***
ORIGIN_GRID_ID1388        15.7740261  0.0076984  2049.003   <2e-16 ***
ORIGIN_GRID_ID1389        14.4490867  0.0128185  1127.208   <2e-16 ***
ORIGIN_GRID_ID1390        15.5434072  0.0079066  1965.869   <2e-16 ***
ORIGIN_GRID_ID1391        15.6088994  0.0086917  1795.847   <2e-16 ***
ORIGIN_GRID_ID1392        15.0702693  0.0190168   792.473   <2e-16 ***
ORIGIN_GRID_ID1393        14.6447975  0.0164810   888.588   <2e-16 ***
ORIGIN_GRID_ID1394        15.9157392  0.0084716  1878.728   <2e-16 ***
ORIGIN_GRID_ID1395        15.9736727  0.0083850  1905.024   <2e-16 ***
ORIGIN_GRID_ID1396        17.1392672  0.0055988  3061.252   <2e-16 ***
ORIGIN_GRID_ID1397        17.1961585  0.0057206  3006.021   <2e-16 ***
ORIGIN_GRID_ID1398        16.2287113  0.0120015  1352.227   <2e-16 ***
ORIGIN_GRID_ID1400        17.4333254  0.0069822  2496.810   <2e-16 ***
ORIGIN_GRID_ID1401        17.6693474  0.0044579  3963.570   <2e-16 ***
ORIGIN_GRID_ID1402        17.8117647  0.0048446  3676.643   <2e-16 ***
ORIGIN_GRID_ID1404        17.4338300  0.0157244  1108.713   <2e-16 ***
ORIGIN_GRID_ID1410        15.2351229  0.0088422  1722.999   <2e-16 ***
ORIGIN_GRID_ID1411        15.1489547  0.0091401  1657.420   <2e-16 ***
ORIGIN_GRID_ID1412        15.5189146  0.0074656  2078.722   <2e-16 ***
ORIGIN_GRID_ID1413        16.5200490  0.0058100  2843.406   <2e-16 ***
ORIGIN_GRID_ID1414        16.0531417  0.0072008  2229.367   <2e-16 ***
ORIGIN_GRID_ID1415        15.5938115  0.0103046  1513.281   <2e-16 ***
ORIGIN_GRID_ID1416        16.2779757  0.0076286  2133.821   <2e-16 ***
ORIGIN_GRID_ID1417        16.2761064  0.0072872  2233.509   <2e-16 ***
ORIGIN_GRID_ID1418        17.1815943  0.0053613  3204.737   <2e-16 ***
ORIGIN_GRID_ID1419        16.6907906  0.0072729  2294.945   <2e-16 ***
ORIGIN_GRID_ID1422        17.7235320  0.0054071  3277.822   <2e-16 ***
ORIGIN_GRID_ID1423        18.7124637  0.0037154  5036.467   <2e-16 ***
ORIGIN_GRID_ID1430        15.8803753  0.0069341  2290.192   <2e-16 ***
ORIGIN_GRID_ID1431        15.8410955  0.0059096  2680.558   <2e-16 ***
ORIGIN_GRID_ID1432        15.9875862  0.0056773  2816.057   <2e-16 ***
ORIGIN_GRID_ID1433        14.7213046  0.0183009   804.405   <2e-16 ***
ORIGIN_GRID_ID1434        16.4591562  0.0061271  2686.288   <2e-16 ***
ORIGIN_GRID_ID1435        17.1015750  0.0046403  3685.477   <2e-16 ***
ORIGIN_GRID_ID1436        14.0108708  0.0261326   536.144   <2e-16 ***
ORIGIN_GRID_ID1437        17.2368138  0.0049619  3473.813   <2e-16 ***
ORIGIN_GRID_ID1438        17.6533563  0.0039049  4520.864   <2e-16 ***
ORIGIN_GRID_ID1439        18.3175407  0.0035155  5210.445   <2e-16 ***
ORIGIN_GRID_ID1440        14.7490518  0.0216425   681.486   <2e-16 ***
ORIGIN_GRID_ID1442        17.3098980  0.0071213  2430.710   <2e-16 ***
ORIGIN_GRID_ID1443        18.3898641  0.0040658  4523.067   <2e-16 ***
ORIGIN_GRID_ID1444        17.6383903  0.0079052  2231.234   <2e-16 ***
ORIGIN_GRID_ID1452        14.9593968  0.0093231  1604.558   <2e-16 ***
ORIGIN_GRID_ID1453        15.1924928  0.0089950  1689.000   <2e-16 ***
ORIGIN_GRID_ID1454        14.2334894  0.0213080   667.987   <2e-16 ***
ORIGIN_GRID_ID1455        15.6970803  0.0092916  1689.386   <2e-16 ***
ORIGIN_GRID_ID1456        16.4522848  0.0066709  2466.269   <2e-16 ***
ORIGIN_GRID_ID1457        17.3909938  0.0046151  3768.295   <2e-16 ***
ORIGIN_GRID_ID1458        17.4836055  0.0042198  4143.226   <2e-16 ***
ORIGIN_GRID_ID1459        17.0888709  0.0051440  3322.077   <2e-16 ***
ORIGIN_GRID_ID1460        16.3151736  0.0072169  2260.676   <2e-16 ***
ORIGIN_GRID_ID1461        15.0664903  0.0180286   835.701   <2e-16 ***
ORIGIN_GRID_ID1464        18.6595210  0.0038671  4825.203   <2e-16 ***
ORIGIN_GRID_ID1465        18.2874288  0.0050610  3613.438   <2e-16 ***
ORIGIN_GRID_ID1472        13.5147737  0.0235105   574.840   <2e-16 ***
ORIGIN_GRID_ID1473        14.5113210  0.0118085  1228.884   <2e-16 ***
ORIGIN_GRID_ID1474        15.6861892  0.0063172  2483.087   <2e-16 ***
ORIGIN_GRID_ID1475        16.7810662  0.0049252  3407.218   <2e-16 ***
ORIGIN_GRID_ID1476        16.3180706  0.0070697  2308.175   <2e-16 ***
ORIGIN_GRID_ID1477        17.8965736  0.0033903  5278.816   <2e-16 ***
ORIGIN_GRID_ID1478        16.3101763  0.0070750  2305.334   <2e-16 ***
ORIGIN_GRID_ID1479        16.5567289  0.0063584  2603.913   <2e-16 ***
ORIGIN_GRID_ID1480        18.2914780  0.0032819  5573.519   <2e-16 ***
ORIGIN_GRID_ID1481        15.8950884  0.0107565  1477.719   <2e-16 ***
ORIGIN_GRID_ID1482        15.7180967  0.0144542  1087.441   <2e-16 ***
ORIGIN_GRID_ID1485        18.1315500  0.0052061  3482.720   <2e-16 ***
ORIGIN_GRID_ID1494        14.6979676  0.0142563  1030.984   <2e-16 ***
ORIGIN_GRID_ID1495        14.9830559  0.0091972  1629.096   <2e-16 ***
ORIGIN_GRID_ID1496        16.1616034  0.0053396  3026.761   <2e-16 ***
ORIGIN_GRID_ID1497        16.7090124  0.0056938  2934.583   <2e-16 ***
ORIGIN_GRID_ID1498        17.2156326  0.0045827  3756.681   <2e-16 ***
ORIGIN_GRID_ID1499        17.5238718  0.0041259  4247.327   <2e-16 ***
ORIGIN_GRID_ID1500        17.4643857  0.0057799  3021.597   <2e-16 ***
ORIGIN_GRID_ID1501        17.5808901  0.0041678  4218.285   <2e-16 ***
ORIGIN_GRID_ID1502        17.2173553  0.0051689  3330.948   <2e-16 ***
ORIGIN_GRID_ID1506        12.8507580  0.1195432   107.499   <2e-16 ***
ORIGIN_GRID_ID1515        13.7973889  0.0260764   529.114   <2e-16 ***
ORIGIN_GRID_ID1516        15.3442328  0.0080525  1905.522   <2e-16 ***
ORIGIN_GRID_ID1517        15.8449939  0.0074663  2122.212   <2e-16 ***
ORIGIN_GRID_ID1518        16.1415084  0.0080100  2015.167   <2e-16 ***
ORIGIN_GRID_ID1519        17.6689961  0.0052478  3366.924   <2e-16 ***
ORIGIN_GRID_ID1520        16.3021631  0.0074225  2196.325   <2e-16 ***
ORIGIN_GRID_ID1521        15.6400889  0.0112459  1390.742   <2e-16 ***
ORIGIN_GRID_ID1522        17.8928311  0.0038908  4598.697   <2e-16 ***
ORIGIN_GRID_ID1523        16.2192624  0.0163322   993.088   <2e-16 ***
ORIGIN_GRID_ID1524        16.4545329  0.0102114  1611.387   <2e-16 ***
ORIGIN_GRID_ID1527        16.0783527  0.0167999   957.049   <2e-16 ***
ORIGIN_GRID_ID1535        12.2668793  0.0995248   123.255   <2e-16 ***
ORIGIN_GRID_ID1536        13.2074040  0.0354155   372.927   <2e-16 ***
ORIGIN_GRID_ID1537        13.7853121  0.0205426   671.058   <2e-16 ***
ORIGIN_GRID_ID1538        15.6766471  0.0070475  2224.439   <2e-16 ***
ORIGIN_GRID_ID1539        16.3345797  0.0056782  2876.732   <2e-16 ***
ORIGIN_GRID_ID1540        17.1228504  0.0047622  3595.608   <2e-16 ***
ORIGIN_GRID_ID1541        18.3669932  0.0054486  3370.951   <2e-16 ***
ORIGIN_GRID_ID1542        15.3819173  0.0162279   947.868   <2e-16 ***
ORIGIN_GRID_ID1543        15.7542749  0.0227144   693.581   <2e-16 ***
ORIGIN_GRID_ID1544        17.1730920  0.0068948  2490.739   <2e-16 ***
ORIGIN_GRID_ID1547        13.9260927  0.0634116   219.614   <2e-16 ***
ORIGIN_GRID_ID1556        13.7388718  0.0690398   198.999   <2e-16 ***
ORIGIN_GRID_ID1557        13.1207730  0.0375865   349.082   <2e-16 ***
ORIGIN_GRID_ID1558        14.4641690  0.0208265   694.507   <2e-16 ***
ORIGIN_GRID_ID1559        16.4087418  0.0053926  3042.853   <2e-16 ***
ORIGIN_GRID_ID1560        17.3903500  0.0040869  4255.115   <2e-16 ***
ORIGIN_GRID_ID1561        17.6973703  0.0049516  3574.047   <2e-16 ***
ORIGIN_GRID_ID1562        14.6073765  0.0215940   676.456   <2e-16 ***
ORIGIN_GRID_ID1563        16.2442491  0.0077791  2088.186   <2e-16 ***
ORIGIN_GRID_ID1564        15.4438127  0.0141634  1090.406   <2e-16 ***
ORIGIN_GRID_ID1565        15.4943511  0.0145833  1062.472   <2e-16 ***
ORIGIN_GRID_ID1566        15.0035428  0.0208648   719.083   <2e-16 ***
ORIGIN_GRID_ID1567        12.9440168  0.0953687   135.726   <2e-16 ***
ORIGIN_GRID_ID1568        13.5629170  0.0677602   200.160   <2e-16 ***
ORIGIN_GRID_ID1578        10.7414127  0.2582065    41.600   <2e-16 ***
ORIGIN_GRID_ID1580        14.9628073  0.0176891   845.876   <2e-16 ***
ORIGIN_GRID_ID1581        13.8963794  0.0220154   631.212   <2e-16 ***
ORIGIN_GRID_ID1582        17.2185734  0.0043257  3980.524   <2e-16 ***
ORIGIN_GRID_ID1583        15.8950566  0.0215038   739.176   <2e-16 ***
ORIGIN_GRID_ID1584        15.9549406  0.0110319  1446.252   <2e-16 ***
ORIGIN_GRID_ID1585        16.2955838  0.0098932  1647.157   <2e-16 ***
ORIGIN_GRID_ID1586        15.4154192  0.0139705  1103.423   <2e-16 ***
ORIGIN_GRID_ID1589        13.1037199  0.0995267   131.660   <2e-16 ***
ORIGIN_GRID_ID1590        13.5740686  0.0703956   192.826   <2e-16 ***
ORIGIN_GRID_ID1600        17.0695739  0.0101699  1678.447   <2e-16 ***
ORIGIN_GRID_ID1601        15.6237697  0.0081704  1912.247   <2e-16 ***
ORIGIN_GRID_ID1602        16.6270190  0.0065424  2541.432   <2e-16 ***
ORIGIN_GRID_ID1603        17.4957952  0.0043904  3985.036   <2e-16 ***
ORIGIN_GRID_ID1604        15.9614359  0.0084373  1891.764   <2e-16 ***
ORIGIN_GRID_ID1605        17.3248410  0.0046388  3734.801   <2e-16 ***
ORIGIN_GRID_ID1606        16.9860016  0.0098900  1717.493   <2e-16 ***
ORIGIN_GRID_ID1607        16.0951157  0.0098553  1633.147   <2e-16 ***
ORIGIN_GRID_ID1608        17.6770689  0.0048076  3676.920   <2e-16 ***
ORIGIN_GRID_ID1609        17.4353525  0.0059252  2942.570   <2e-16 ***
ORIGIN_GRID_ID1610        14.0745559  0.0668522   210.532   <2e-16 ***
ORIGIN_GRID_ID1622        15.7625061  0.0222527   708.343   <2e-16 ***
ORIGIN_GRID_ID1623        17.0443808  0.0045066  3782.095   <2e-16 ***
ORIGIN_GRID_ID1624        15.9792716  0.0086645  1844.232   <2e-16 ***
ORIGIN_GRID_ID1625        17.3173097  0.0050355  3439.069   <2e-16 ***
ORIGIN_GRID_ID1626        17.8794626  0.0037443  4775.073   <2e-16 ***
ORIGIN_GRID_ID1627        16.2890561  0.0075871  2146.940   <2e-16 ***
ORIGIN_GRID_ID1628        18.0724374  0.0038004  4755.436   <2e-16 ***
ORIGIN_GRID_ID1629        16.9179640  0.0070438  2401.820   <2e-16 ***
ORIGIN_GRID_ID1630        16.7650187  0.0079886  2098.624   <2e-16 ***
ORIGIN_GRID_ID1631        13.3046367  0.0702209   189.468   <2e-16 ***
ORIGIN_GRID_ID1642        14.7707906  0.0303865   486.097   <2e-16 ***
ORIGIN_GRID_ID1643        16.9491436  0.0047668  3555.634   <2e-16 ***
ORIGIN_GRID_ID1644        15.0231224  0.0173147   867.650   <2e-16 ***
ORIGIN_GRID_ID1645        16.5620306  0.0065182  2540.905   <2e-16 ***
ORIGIN_GRID_ID1646        16.4668462  0.0094494  1742.628   <2e-16 ***
ORIGIN_GRID_ID1647        16.6047773  0.0062327  2664.137   <2e-16 ***
ORIGIN_GRID_ID1648        17.1696640  0.0051822  3313.208   <2e-16 ***
ORIGIN_GRID_ID1649        17.9054587  0.0040334  4439.261   <2e-16 ***
ORIGIN_GRID_ID1650        17.6309211  0.0055051  3202.668   <2e-16 ***
ORIGIN_GRID_ID1664        11.9737262  0.1474550    81.203   <2e-16 ***
ORIGIN_GRID_ID1665        17.2311991  0.0043739  3939.539   <2e-16 ***
ORIGIN_GRID_ID1666        15.9812745  0.0075814  2107.969   <2e-16 ***
ORIGIN_GRID_ID1667        17.1926925  0.0108682  1581.932   <2e-16 ***
ORIGIN_GRID_ID1668        17.2254454  0.0050337  3422.026   <2e-16 ***
ORIGIN_GRID_ID1670        18.0524064  0.0038126  4734.907   <2e-16 ***
ORIGIN_GRID_ID1671        18.5969241  0.0053266  3491.305   <2e-16 ***
ORIGIN_GRID_ID1672        17.6978414  0.0059516  2973.603   <2e-16 ***
ORIGIN_GRID_ID1684        16.2710668  0.0136857  1188.912   <2e-16 ***
ORIGIN_GRID_ID1685        16.8344316  0.0057030  2951.867   <2e-16 ***
ORIGIN_GRID_ID1686        16.6469488  0.0057551  2892.535   <2e-16 ***
ORIGIN_GRID_ID1687        16.5999421  0.0078216  2122.320   <2e-16 ***
ORIGIN_GRID_ID1688        15.9372845  0.0090901  1753.261   <2e-16 ***
ORIGIN_GRID_ID1689        15.3893192  0.0135694  1134.122   <2e-16 ***
ORIGIN_GRID_ID1690        17.0447163  0.0068254  2497.258   <2e-16 ***
ORIGIN_GRID_ID1691        17.6050203  0.0047169  3732.338   <2e-16 ***
ORIGIN_GRID_ID1692        16.7287393  0.0084918  1969.981   <2e-16 ***
ORIGIN_GRID_ID1706        16.7420287  0.0067616  2476.029   <2e-16 ***
ORIGIN_GRID_ID1707        16.6833061  0.0054200  3078.108   <2e-16 ***
ORIGIN_GRID_ID1708        17.3364541  0.0044729  3875.855   <2e-16 ***
ORIGIN_GRID_ID1709        16.4735307  0.0069583  2367.479   <2e-16 ***
ORIGIN_GRID_ID1710        17.6138773  0.0045756  3849.519   <2e-16 ***
ORIGIN_GRID_ID1711        17.2263867  0.0055178  3121.943   <2e-16 ***
ORIGIN_GRID_ID1712        17.9170753  0.0038147  4696.905   <2e-16 ***
ORIGIN_GRID_ID1713        15.3915583  0.0136571  1127.003   <2e-16 ***
ORIGIN_GRID_ID1714        17.8026448  0.0049738  3579.318   <2e-16 ***
ORIGIN_GRID_ID1727        16.9509231  0.0056716  2988.717   <2e-16 ***
ORIGIN_GRID_ID1728        16.8939841  0.0053120  3180.338   <2e-16 ***
ORIGIN_GRID_ID1729        16.5333646  0.0062203  2657.971   <2e-16 ***
ORIGIN_GRID_ID1730        14.6331953  0.0233272   627.301   <2e-16 ***
ORIGIN_GRID_ID1731        17.2199949  0.0055100  3125.233   <2e-16 ***
ORIGIN_GRID_ID1732        17.6535933  0.0041253  4279.318   <2e-16 ***
ORIGIN_GRID_ID1733        17.3656367  0.0048346  3591.973   <2e-16 ***
ORIGIN_GRID_ID1734        17.5098099  0.0046313  3780.753   <2e-16 ***
ORIGIN_GRID_ID1735        18.5685663  0.0060306  3079.033   <2e-16 ***
ORIGIN_GRID_ID1748        15.7210032  0.0106369  1477.975   <2e-16 ***
ORIGIN_GRID_ID1749        16.6563438  0.0056068  2970.715   <2e-16 ***
ORIGIN_GRID_ID1750        15.8840976  0.0080414  1975.293   <2e-16 ***
ORIGIN_GRID_ID1751        15.8374483  0.0113069  1400.689   <2e-16 ***
ORIGIN_GRID_ID1753        17.7543898  0.0042548  4172.807   <2e-16 ***
ORIGIN_GRID_ID1754        17.9551984  0.0037754  4755.852   <2e-16 ***
ORIGIN_GRID_ID1755        17.4129024  0.0047141  3693.812   <2e-16 ***
ORIGIN_GRID_ID1756        17.1963193  0.0056645  3035.825   <2e-16 ***
ORIGIN_GRID_ID1757        14.5842184  0.0337151   432.572   <2e-16 ***
ORIGIN_GRID_ID1769        16.5471442  0.0065281  2534.767   <2e-16 ***
ORIGIN_GRID_ID1770        16.4583910  0.0107983  1524.159   <2e-16 ***
ORIGIN_GRID_ID1771        15.5105255  0.0116498  1331.396   <2e-16 ***
ORIGIN_GRID_ID1772        15.1895957  0.0268473   565.778   <2e-16 ***
ORIGIN_GRID_ID1774        17.4074013  0.0046984  3704.958   <2e-16 ***
ORIGIN_GRID_ID1775        16.9112113  0.0058896  2871.362   <2e-16 ***
ORIGIN_GRID_ID1776        17.9031157  0.0038288  4675.857   <2e-16 ***
ORIGIN_GRID_ID1777        17.9497827  0.0042139  4259.643   <2e-16 ***
ORIGIN_GRID_ID1778        16.9842143  0.0117141  1449.897   <2e-16 ***
ORIGIN_GRID_ID1790        17.1928929  0.0054629  3147.199   <2e-16 ***
ORIGIN_GRID_ID1791        16.5539607  0.0070481  2348.700   <2e-16 ***
ORIGIN_GRID_ID1792        16.7870476  0.0072420  2318.027   <2e-16 ***
ORIGIN_GRID_ID1793        14.9716042  0.0159229   940.255   <2e-16 ***
ORIGIN_GRID_ID1794        15.5461081  0.0286329   542.945   <2e-16 ***
ORIGIN_GRID_ID1795        14.2471821  0.0344511   413.547   <2e-16 ***
ORIGIN_GRID_ID1796        17.7159282  0.0046868  3779.964   <2e-16 ***
ORIGIN_GRID_ID1797        17.6575413  0.0042777  4127.799   <2e-16 ***
ORIGIN_GRID_ID1798        17.7840567  0.0042308  4203.443   <2e-16 ***
ORIGIN_GRID_ID1799        16.7422829  0.0078873  2122.691   <2e-16 ***
ORIGIN_GRID_ID1800        15.9362698  0.0265277   600.740   <2e-16 ***
ORIGIN_GRID_ID1811        16.3593570  0.0079832  2049.214   <2e-16 ***
ORIGIN_GRID_ID1812        17.5666234  0.0041097  4274.466   <2e-16 ***
ORIGIN_GRID_ID1813        17.5075438  0.0043319  4041.574   <2e-16 ***
ORIGIN_GRID_ID1817        17.4270349  0.0056062  3108.550   <2e-16 ***
ORIGIN_GRID_ID1818        17.4242568  0.0047780  3646.800   <2e-16 ***
ORIGIN_GRID_ID1819        17.7644451  0.0040688  4366.053   <2e-16 ***
ORIGIN_GRID_ID1820        14.5647792  0.0363780   400.373   <2e-16 ***
ORIGIN_GRID_ID1832        17.0242434  0.0059954  2839.555   <2e-16 ***
ORIGIN_GRID_ID1833        16.5954016  0.0064923  2556.165   <2e-16 ***
ORIGIN_GRID_ID1834        17.1583185  0.0049780  3446.843   <2e-16 ***
ORIGIN_GRID_ID1835        16.5041167  0.0079221  2083.310   <2e-16 ***
ORIGIN_GRID_ID1837        13.8177569  0.0631550   218.791   <2e-16 ***
ORIGIN_GRID_ID1839        16.7130871  0.0076324  2189.747   <2e-16 ***
ORIGIN_GRID_ID1840        18.6368947  0.0031947  5833.621   <2e-16 ***
ORIGIN_GRID_ID1841        13.7668985  0.0459755   299.440   <2e-16 ***
ORIGIN_GRID_ID1842        17.4790411  0.0111617  1565.980   <2e-16 ***
ORIGIN_GRID_ID1853        17.0123885  0.0054216  3137.879   <2e-16 ***
ORIGIN_GRID_ID1854        17.2990224  0.0051625  3350.913   <2e-16 ***
ORIGIN_GRID_ID1855        17.6458332  0.0045743  3857.632   <2e-16 ***
ORIGIN_GRID_ID1858        15.3712350  0.0269869   569.581   <2e-16 ***
ORIGIN_GRID_ID1860        17.8363741  0.0087557  2037.117   <2e-16 ***
ORIGIN_GRID_ID1861        17.6240406  0.0048881  3605.511   <2e-16 ***
ORIGIN_GRID_ID1874        17.1880439  0.0065774  2613.207   <2e-16 ***
ORIGIN_GRID_ID1875        15.6330239  0.0138301  1130.365   <2e-16 ***
ORIGIN_GRID_ID1876        17.5045639  0.0107292  1631.490   <2e-16 ***
ORIGIN_GRID_ID1877        17.2880298  0.0051941  3328.396   <2e-16 ***
ORIGIN_GRID_ID1880        14.1332340  0.0491332   287.651   <2e-16 ***
ORIGIN_GRID_ID1882        17.5396611  0.0052676  3329.697   <2e-16 ***
ORIGIN_GRID_ID1883        17.3394199  0.0090068  1925.138   <2e-16 ***
ORIGIN_GRID_ID1895        17.2595298  0.0052287  3300.915   <2e-16 ***
ORIGIN_GRID_ID1896        15.8360561  0.0102226  1549.118   <2e-16 ***
ORIGIN_GRID_ID1897        16.6364825  0.0094912  1752.831   <2e-16 ***
ORIGIN_GRID_ID1898        12.0167369  0.1507712    79.702   <2e-16 ***
ORIGIN_GRID_ID1901        13.8675994  0.0723917   191.563   <2e-16 ***
ORIGIN_GRID_ID1903        16.8043893  0.0090263  1861.704   <2e-16 ***
ORIGIN_GRID_ID1917        15.9001026  0.0102101  1557.284   <2e-16 ***
ORIGIN_GRID_ID1918        17.7511946  0.0061222  2899.481   <2e-16 ***
ORIGIN_GRID_ID1919        17.2382339  0.0055910  3083.224   <2e-16 ***
ORIGIN_GRID_ID1922        15.2282614  0.0280642   542.622   <2e-16 ***
ORIGIN_GRID_ID1924        16.7412794  0.0097097  1724.188   <2e-16 ***
ORIGIN_GRID_ID1937        16.6541469  0.0074564  2233.535   <2e-16 ***
ORIGIN_GRID_ID1938        17.5247129  0.0048193  3636.363   <2e-16 ***
ORIGIN_GRID_ID1939        18.1237378  0.0043548  4161.808   <2e-16 ***
ORIGIN_GRID_ID1942        14.3352507  0.0461759   310.449   <2e-16 ***
ORIGIN_GRID_ID1959        16.3189815  0.0092444  1765.280   <2e-16 ***
ORIGIN_GRID_ID1960        18.2813100  0.0033553  5448.481   <2e-16 ***
ORIGIN_GRID_ID1961        16.9762357  0.0073812  2299.920   <2e-16 ***
ORIGIN_GRID_ID1962        17.9720015  0.0046967  3826.533   <2e-16 ***
ORIGIN_GRID_ID1964        13.6311012  0.0860908   158.334   <2e-16 ***
ORIGIN_GRID_ID1979        16.6060680  0.0085581  1940.398   <2e-16 ***
ORIGIN_GRID_ID1980        15.1236224  0.0149657  1010.553   <2e-16 ***
ORIGIN_GRID_ID1981        17.6391431  0.0046495  3793.760   <2e-16 ***
ORIGIN_GRID_ID1982        16.4978157  0.0117828  1400.155   <2e-16 ***
ORIGIN_GRID_ID1983        17.9967650  0.0046988  3830.059   <2e-16 ***
ORIGIN_GRID_ID1984        16.6773413  0.0080828  2063.318   <2e-16 ***
ORIGIN_GRID_ID1985        17.2609082  0.0065968  2616.576   <2e-16 ***
ORIGIN_GRID_ID2001        16.9037321  0.0063588  2658.304   <2e-16 ***
ORIGIN_GRID_ID2002        17.6610070  0.0042161  4188.907   <2e-16 ***
ORIGIN_GRID_ID2003        17.2921832  0.0054293  3184.994   <2e-16 ***
ORIGIN_GRID_ID2004        18.0391720  0.0045361  3976.806   <2e-16 ***
ORIGIN_GRID_ID2005        17.9131257  0.0044519  4023.685   <2e-16 ***
ORIGIN_GRID_ID2006        16.4690302  0.0098575  1670.703   <2e-16 ***
ORIGIN_GRID_ID2007        15.8694593  0.0168049   944.337   <2e-16 ***
ORIGIN_GRID_ID2022        17.5005651  0.0063389  2760.819   <2e-16 ***
ORIGIN_GRID_ID2023        17.9120537  0.0040756  4394.975   <2e-16 ***
ORIGIN_GRID_ID2024        17.2628946  0.0052008  3319.261   <2e-16 ***
ORIGIN_GRID_ID2025        17.4735115  0.0049332  3542.004   <2e-16 ***
ORIGIN_GRID_ID2026        16.1347271  0.0120835  1335.270   <2e-16 ***
ORIGIN_GRID_ID2027        18.1212867  0.0043055  4208.873   <2e-16 ***
ORIGIN_GRID_ID2043        16.6879677  0.0081775  2040.723   <2e-16 ***
ORIGIN_GRID_ID2044        17.6077734  0.0046067  3822.178   <2e-16 ***
ORIGIN_GRID_ID2045        13.5550127  0.0785970   172.462   <2e-16 ***
ORIGIN_GRID_ID2046        17.5167404  0.0043095  4064.696   <2e-16 ***
ORIGIN_GRID_ID2047        17.4952075  0.0054914  3185.905   <2e-16 ***
ORIGIN_GRID_ID2048        17.6971579  0.0049189  3597.769   <2e-16 ***
ORIGIN_GRID_ID2049        16.6779509  0.0138852  1201.135   <2e-16 ***
ORIGIN_GRID_ID2064        17.5089886  0.0052749  3319.300   <2e-16 ***
ORIGIN_GRID_ID2065        16.1100340  0.0091160  1767.217   <2e-16 ***
ORIGIN_GRID_ID2066        15.6122904  0.0257041   607.384   <2e-16 ***
ORIGIN_GRID_ID2067        18.6393277  0.0031434  5929.600   <2e-16 ***
ORIGIN_GRID_ID2068        17.6285673  0.0072394  2435.086   <2e-16 ***
ORIGIN_GRID_ID2069        17.5284662  0.0057721  3036.740   <2e-16 ***
ORIGIN_GRID_ID2085        16.2629625  0.0101925  1595.584   <2e-16 ***
ORIGIN_GRID_ID2086        17.8239975  0.0043962  4054.437   <2e-16 ***
ORIGIN_GRID_ID2087        16.5184947  0.0078080  2115.583   <2e-16 ***
ORIGIN_GRID_ID2088        17.2022124  0.0049843  3451.277   <2e-16 ***
ORIGIN_GRID_ID2089        16.9678891  0.0068097  2491.736   <2e-16 ***
ORIGIN_GRID_ID2090        18.1837144  0.0038338  4743.017   <2e-16 ***
ORIGIN_GRID_ID2091        13.8541986  0.0739509   187.343   <2e-16 ***
ORIGIN_GRID_ID2105        14.1836995  0.1147348   123.622   <2e-16 ***
ORIGIN_GRID_ID2106        14.8094041  0.0204125   725.505   <2e-16 ***
ORIGIN_GRID_ID2107        15.8911040  0.0098758  1609.090   <2e-16 ***
ORIGIN_GRID_ID2108        17.1551505  0.0059369  2889.563   <2e-16 ***
ORIGIN_GRID_ID2109        17.4036702  0.0048358  3598.905   <2e-16 ***
ORIGIN_GRID_ID2110        16.9457328  0.0077149  2196.486   <2e-16 ***
ORIGIN_GRID_ID2111        14.5146680  0.0497917   291.508   <2e-16 ***
ORIGIN_GRID_ID2128        15.6875307  0.0152392  1029.417   <2e-16 ***
ORIGIN_GRID_ID2129        15.1939133  0.0163654   928.417   <2e-16 ***
ORIGIN_GRID_ID2130        17.6909429  0.0042216  4190.556   <2e-16 ***
ORIGIN_GRID_ID2131        17.9787007  0.0047572  3779.237   <2e-16 ***
ORIGIN_GRID_ID2132        17.1393335  0.0064317  2664.806   <2e-16 ***
ORIGIN_GRID_ID2148        16.4900128  0.0121730  1354.634   <2e-16 ***
ORIGIN_GRID_ID2149        15.1910551  0.0168166   903.337   <2e-16 ***
ORIGIN_GRID_ID2150        17.6075112  0.0049033  3590.972   <2e-16 ***
ORIGIN_GRID_ID2151        18.0764428  0.0038146  4738.728   <2e-16 ***
ORIGIN_GRID_ID2152        18.2028336  0.0041284  4409.176   <2e-16 ***
ORIGIN_GRID_ID2153        17.7002165  0.0057861  3059.067   <2e-16 ***
ORIGIN_GRID_ID2171        16.5764532  0.0076393  2169.900   <2e-16 ***
ORIGIN_GRID_ID2172        16.8376546  0.0082359  2044.410   <2e-16 ***
ORIGIN_GRID_ID2173        17.2339123  0.0054662  3152.841   <2e-16 ***
ORIGIN_GRID_ID2174        17.6036334  0.0055345  3180.684   <2e-16 ***
ORIGIN_GRID_ID2191        16.4817855  0.0107567  1532.235   <2e-16 ***
ORIGIN_GRID_ID2192        15.9824019  0.0118005  1354.383   <2e-16 ***
ORIGIN_GRID_ID2193        17.0847148  0.0063657  2683.878   <2e-16 ***
ORIGIN_GRID_ID2194        17.3929328  0.0054780  3175.039   <2e-16 ***
ORIGIN_GRID_ID2195        16.7117183  0.0221846   753.301   <2e-16 ***
ORIGIN_GRID_ID2212        13.8702951  0.1037198   133.728   <2e-16 ***
ORIGIN_GRID_ID2213        13.6220699  0.0447684   304.279   <2e-16 ***
ORIGIN_GRID_ID2214        15.0942791  0.0279081   540.857   <2e-16 ***
ORIGIN_GRID_ID2215        17.0419116  0.0072144  2362.196   <2e-16 ***
ORIGIN_GRID_ID2216        16.2013786  0.0113903  1422.382   <2e-16 ***
ORIGIN_GRID_ID2233        13.9021489  0.0494285   281.258   <2e-16 ***
ORIGIN_GRID_ID2234        16.4796078  0.0205518   801.858   <2e-16 ***
ORIGIN_GRID_ID2235        15.9603573  0.0138969  1148.485   <2e-16 ***
ORIGIN_GRID_ID2236        16.0356448  0.0132192  1213.060   <2e-16 ***
ORIGIN_GRID_ID2237        13.6923845  0.0618135   221.511   <2e-16 ***
ORIGIN_GRID_ID2256        14.4848644  0.0444171   326.110   <2e-16 ***
ORIGIN_GRID_ID2257        15.5467066  0.0204216   761.288   <2e-16 ***
ORIGIN_GRID_ID2258        15.2526048  0.0167386   911.224   <2e-16 ***
ORIGIN_GRID_ID2259        14.7932003  0.0397070   372.559   <2e-16 ***
ORIGIN_GRID_ID2277        15.3732724  0.0382693   401.713   <2e-16 ***
ORIGIN_GRID_ID2278        15.9828275  0.0163361   978.377   <2e-16 ***
ORIGIN_GRID_ID2279        15.1474458  0.0206664   732.949   <2e-16 ***
ORIGIN_GRID_ID2280        12.8237993  0.1336462    95.953   <2e-16 ***
ORIGIN_GRID_ID2297        17.3566597  0.0100231  1731.662   <2e-16 ***
ORIGIN_GRID_ID2300        13.5305167  0.0698763   193.635   <2e-16 ***
ORIGIN_GRID_ID2301        15.2413672  0.0201743   755.483   <2e-16 ***
ORIGIN_GRID_ID2318        15.7544839  0.0198843   792.306   <2e-16 ***
ORIGIN_GRID_ID2319        16.6478758  0.0114592  1452.790   <2e-16 ***
ORIGIN_GRID_ID2322        16.3302751  0.0129798  1258.131   <2e-16 ***
ORIGIN_GRID_ID2337        17.4635456  0.0156584  1115.284   <2e-16 ***
ORIGIN_GRID_ID2341        16.9025202  0.0105901  1596.072   <2e-16 ***
ORIGIN_GRID_ID2343        16.0182923  0.0148229  1080.647   <2e-16 ***
ORIGIN_GRID_ID2361        16.7230341  0.0128928  1297.084   <2e-16 ***
ORIGIN_GRID_ID2364        13.1269853  0.0958085   137.013   <2e-16 ***
ORIGIN_GRID_ID2379        17.1982695  0.0168270  1022.061   <2e-16 ***
ORIGIN_GRID_ID2384        16.3012039  0.0175054   931.212   <2e-16 ***
ORIGIN_GRID_ID2405        15.9136476  0.0183564   866.928   <2e-16 ***
ORIGIN_GRID_ID2406        14.6313557  0.0399337   366.391   <2e-16 ***
ORIGIN_GRID_ID2426        16.2648375  0.0332916   488.557   <2e-16 ***
ORIGIN_GRID_ID2427        17.1787551  0.0116163  1478.848   <2e-16 ***
ORIGIN_GRID_ID2505        16.7069445  0.0460461   362.831   <2e-16 ***
log(DESTIN_TRAIN_EXIT_CT)  0.4921565  0.0004412  1115.538   <2e-16 ***
log(DESTIN_PRESCHOOL_CT)   0.0068710  0.0003498    19.644   <2e-16 ***
log(DESTIN_BUSINESS_CT)    0.0698660  0.0002004   348.631   <2e-16 ***
log(DESTIN_FINSERV_CT)     0.2382405  0.0002998   794.610   <2e-16 ***
log(DESTIN_SCH_CT)         0.2931763  0.0007345   399.161   <2e-16 ***
log(dist)                 -1.5064196  0.0002911 -5174.065   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 276215117  on 62120  degrees of freedom
Residual deviance:  30486339  on 61297  degrees of freedom
AIC: 30823357

Number of Fisher Scoring iterations: 7

Destination Constrained SIM output

The R-squared value of 0.37 tells us that the explanatory variables are able to explain 37% of the variance in the TRIPS target variable.

CalcRSquared(decSIM$data$TRIPS, decSIM$fitted.values)
[1] 0.3686593

All the coefficients are statistically significant (refer to next tab).

The most influential explanatory variables are distance, origin 5 room count and origin exec count count with coefficients of -1.42, 0.09 and 0.05 respectively.

decSIM$coefficients[819:828]
log(ORIGIN_RENTAL_CT)  log(ORIGIN_2ROOM_CT)  log(ORIGIN_3ROOM_CT) 
          0.003331047           0.014482843           0.012321306 
 log(ORIGIN_4ROOM_CT)  log(ORIGIN_5ROOM_CT)   log(ORIGIN_EXEC_CT) 
          0.033286118           0.094080481           0.045384669 
log(ORIGIN_STUDIO_CT)             log(dist)                  <NA> 
          0.006125000          -1.416437763                    NA 
                 <NA> 
                   NA 
summary(decSIM)

Call:
glm(formula = TRIPS ~ DESTIN_GRID_ID + log(ORIGIN_RENTAL_CT) + 
    log(ORIGIN_2ROOM_CT) + log(ORIGIN_3ROOM_CT) + log(ORIGIN_4ROOM_CT) + 
    log(ORIGIN_5ROOM_CT) + log(ORIGIN_EXEC_CT) + log(ORIGIN_STUDIO_CT) + 
    log(dist) - 1, family = poisson(link = "log"), data = flow_data1, 
    na.action = na.exclude)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-368.49   -11.54    -5.22     0.82   606.37  

Coefficients:
                        Estimate Std. Error  z value Pr(>|z|)    
DESTIN_GRID_ID23       1.608e+01  5.527e-02   290.97   <2e-16 ***
DESTIN_GRID_ID44       1.733e+01  2.344e-02   739.64   <2e-16 ***
DESTIN_GRID_ID46       1.641e+01  2.050e-02   800.51   <2e-16 ***
DESTIN_GRID_ID66       1.548e+01  4.879e-02   317.39   <2e-16 ***
DESTIN_GRID_ID67       1.637e+01  1.448e-02  1130.40   <2e-16 ***
DESTIN_GRID_ID68       1.655e+01  2.054e-02   805.40   <2e-16 ***
DESTIN_GRID_ID86       1.648e+01  3.644e-02   452.23   <2e-16 ***
DESTIN_GRID_ID87       1.423e+01  8.773e-02   162.19   <2e-16 ***
DESTIN_GRID_ID88       1.597e+01  1.828e-02   873.41   <2e-16 ***
DESTIN_GRID_ID89       1.629e+01  2.104e-02   774.13   <2e-16 ***
DESTIN_GRID_ID90       1.183e+01  7.071e-01    16.73   <2e-16 ***
DESTIN_GRID_ID109      1.612e+01  2.498e-02   645.35   <2e-16 ***
DESTIN_GRID_ID110      1.257e+01  1.179e-01   106.61   <2e-16 ***
DESTIN_GRID_ID111      1.646e+01  1.276e-02  1289.94   <2e-16 ***
DESTIN_GRID_ID112      1.446e+01  3.362e-02   430.12   <2e-16 ***
DESTIN_GRID_ID128      1.612e+01  2.522e-02   639.18   <2e-16 ***
DESTIN_GRID_ID129      1.319e+01  1.374e-01    95.98   <2e-16 ***
DESTIN_GRID_ID130      1.554e+01  2.343e-02   663.07   <2e-16 ***
DESTIN_GRID_ID131      1.509e+01  2.252e-02   670.26   <2e-16 ***
DESTIN_GRID_ID132      1.634e+01  1.541e-02  1060.16   <2e-16 ***
DESTIN_GRID_ID133      1.599e+01  1.291e-02  1238.80   <2e-16 ***
DESTIN_GRID_ID134      1.616e+01  1.208e-02  1337.68   <2e-16 ***
DESTIN_GRID_ID150      1.579e+01  2.640e-02   598.04   <2e-16 ***
DESTIN_GRID_ID151      1.537e+01  2.297e-02   668.91   <2e-16 ***
DESTIN_GRID_ID152      1.683e+01  1.461e-02  1152.16   <2e-16 ***
DESTIN_GRID_ID153      1.660e+01  1.356e-02  1224.33   <2e-16 ***
DESTIN_GRID_ID154      1.469e+01  2.834e-02   518.50   <2e-16 ***
DESTIN_GRID_ID155      1.530e+01  1.987e-02   770.14   <2e-16 ***
DESTIN_GRID_ID156      1.608e+01  2.114e-02   760.60   <2e-16 ***
DESTIN_GRID_ID172      1.447e+01  4.499e-02   321.61   <2e-16 ***
DESTIN_GRID_ID174      1.606e+01  1.505e-02  1066.74   <2e-16 ***
DESTIN_GRID_ID175      1.602e+01  1.118e-02  1433.53   <2e-16 ***
DESTIN_GRID_ID176      1.450e+01  2.781e-02   521.50   <2e-16 ***
DESTIN_GRID_ID195      1.552e+01  3.065e-02   506.41   <2e-16 ***
DESTIN_GRID_ID196      1.620e+01  1.041e-02  1556.19   <2e-16 ***
DESTIN_GRID_ID197      1.322e+01  7.718e-02   171.25   <2e-16 ***
DESTIN_GRID_ID215      1.615e+01  2.993e-02   539.67   <2e-16 ***
DESTIN_GRID_ID216      1.543e+01  1.612e-02   957.03   <2e-16 ***
DESTIN_GRID_ID217      1.678e+01  9.446e-03  1776.31   <2e-16 ***
DESTIN_GRID_ID237      1.579e+01  3.064e-02   515.51   <2e-16 ***
DESTIN_GRID_ID238      1.606e+01  1.521e-02  1055.83   <2e-16 ***
DESTIN_GRID_ID239      1.525e+01  3.143e-02   485.10   <2e-16 ***
DESTIN_GRID_ID257      1.618e+01  1.567e-02  1033.00   <2e-16 ***
DESTIN_GRID_ID258      1.544e+01  1.933e-02   798.83   <2e-16 ***
DESTIN_GRID_ID259      1.660e+01  1.213e-02  1369.26   <2e-16 ***
DESTIN_GRID_ID278      1.644e+01  1.402e-02  1172.84   <2e-16 ***
DESTIN_GRID_ID279      1.620e+01  1.345e-02  1204.42   <2e-16 ***
DESTIN_GRID_ID280      1.644e+01  1.265e-02  1299.58   <2e-16 ***
DESTIN_GRID_ID298      1.307e+01  1.508e-01    86.66   <2e-16 ***
DESTIN_GRID_ID299      1.665e+01  1.640e-02  1015.01   <2e-16 ***
DESTIN_GRID_ID300      1.532e+01  1.725e-02   888.33   <2e-16 ***
DESTIN_GRID_ID320      1.714e+01  1.397e-02  1227.13   <2e-16 ***
DESTIN_GRID_ID321      1.554e+01  2.392e-02   649.59   <2e-16 ***
DESTIN_GRID_ID322      1.746e+01  1.188e-02  1468.97   <2e-16 ***
DESTIN_GRID_ID340      1.761e+01  1.093e-02  1611.99   <2e-16 ***
DESTIN_GRID_ID341      1.647e+01  1.235e-02  1333.00   <2e-16 ***
DESTIN_GRID_ID342      1.702e+01  1.059e-02  1607.09   <2e-16 ***
DESTIN_GRID_ID363      1.673e+01  1.335e-02  1253.90   <2e-16 ***
DESTIN_GRID_ID364      1.784e+01  7.940e-03  2247.53   <2e-16 ***
DESTIN_GRID_ID383      1.681e+01  9.141e-03  1839.29   <2e-16 ***
DESTIN_GRID_ID384      1.737e+01  8.476e-03  2049.74   <2e-16 ***
DESTIN_GRID_ID385      1.681e+01  1.521e-02  1105.32   <2e-16 ***
DESTIN_GRID_ID404      1.746e+01  1.260e-02  1384.95   <2e-16 ***
DESTIN_GRID_ID405      1.716e+01  1.054e-02  1627.94   <2e-16 ***
DESTIN_GRID_ID406      1.664e+01  5.480e-03  3036.46   <2e-16 ***
DESTIN_GRID_ID407      1.684e+01  9.628e-03  1748.59   <2e-16 ***
DESTIN_GRID_ID408      1.773e+01  5.295e-03  3348.41   <2e-16 ***
DESTIN_GRID_ID425      1.520e+01  2.491e-02   610.29   <2e-16 ***
DESTIN_GRID_ID426      1.640e+01  1.035e-02  1585.58   <2e-16 ***
DESTIN_GRID_ID427      1.347e+01  2.652e-02   508.06   <2e-16 ***
DESTIN_GRID_ID428      1.577e+01  1.174e-02  1343.48   <2e-16 ***
DESTIN_GRID_ID429      1.538e+01  2.384e-02   645.10   <2e-16 ***
DESTIN_GRID_ID446      1.613e+01  2.314e-02   696.85   <2e-16 ***
DESTIN_GRID_ID447      1.559e+01  1.720e-02   906.38   <2e-16 ***
DESTIN_GRID_ID448      1.601e+01  1.178e-02  1359.31   <2e-16 ***
DESTIN_GRID_ID449      1.607e+01  7.434e-03  2161.14   <2e-16 ***
DESTIN_GRID_ID450      1.533e+01  1.273e-02  1204.41   <2e-16 ***
DESTIN_GRID_ID468      1.626e+01  1.100e-02  1478.60   <2e-16 ***
DESTIN_GRID_ID469      1.550e+01  8.719e-03  1777.24   <2e-16 ***
DESTIN_GRID_ID470      1.575e+01  7.606e-03  2070.89   <2e-16 ***
DESTIN_GRID_ID471      1.543e+01  1.726e-02   893.61   <2e-16 ***
DESTIN_GRID_ID488      1.554e+01  2.218e-02   700.79   <2e-16 ***
DESTIN_GRID_ID489      1.407e+01  4.805e-02   292.80   <2e-16 ***
DESTIN_GRID_ID490      1.625e+01  8.932e-03  1819.38   <2e-16 ***
DESTIN_GRID_ID491      1.399e+01  1.688e-02   828.78   <2e-16 ***
DESTIN_GRID_ID493      1.333e+01  4.890e-02   272.66   <2e-16 ***
DESTIN_GRID_ID494      1.525e+01  2.319e-02   657.75   <2e-16 ***
DESTIN_GRID_ID509      1.551e+01  1.530e-02  1013.39   <2e-16 ***
DESTIN_GRID_ID510      1.625e+01  1.021e-02  1591.16   <2e-16 ***
DESTIN_GRID_ID511      1.573e+01  7.148e-03  2200.08   <2e-16 ***
DESTIN_GRID_ID512      1.549e+01  7.237e-03  2140.35   <2e-16 ***
DESTIN_GRID_ID513      1.638e+01  8.251e-03  1984.97   <2e-16 ***
DESTIN_GRID_ID514      1.600e+01  1.189e-02  1345.26   <2e-16 ***
DESTIN_GRID_ID515      1.478e+01  3.197e-02   462.31   <2e-16 ***
DESTIN_GRID_ID530      1.519e+01  2.905e-02   522.88   <2e-16 ***
DESTIN_GRID_ID531      1.740e+01  6.210e-03  2802.35   <2e-16 ***
DESTIN_GRID_ID532      1.594e+01  9.110e-03  1750.02   <2e-16 ***
DESTIN_GRID_ID533      1.725e+01  3.538e-03  4874.96   <2e-16 ***
DESTIN_GRID_ID534      1.565e+01  7.268e-03  2153.33   <2e-16 ***
DESTIN_GRID_ID536      1.503e+01  1.835e-02   819.38   <2e-16 ***
DESTIN_GRID_ID537      1.473e+01  3.473e-02   424.26   <2e-16 ***
DESTIN_GRID_ID538      1.417e+01  4.421e-02   320.45   <2e-16 ***
DESTIN_GRID_ID539      1.289e+01  2.673e-01    48.22   <2e-16 ***
DESTIN_GRID_ID551      1.585e+01  1.775e-02   892.62   <2e-16 ***
DESTIN_GRID_ID552      1.761e+01  1.085e-02  1622.93   <2e-16 ***
DESTIN_GRID_ID553      1.540e+01  8.928e-03  1724.58   <2e-16 ***
DESTIN_GRID_ID554      1.537e+01  7.381e-03  2082.97   <2e-16 ***
DESTIN_GRID_ID555      1.632e+01  7.891e-03  2068.01   <2e-16 ***
DESTIN_GRID_ID559      1.459e+01  5.374e-02   271.47   <2e-16 ***
DESTIN_GRID_ID560      1.615e+01  1.684e-02   959.60   <2e-16 ***
DESTIN_GRID_ID561      1.455e+01  6.762e-02   215.23   <2e-16 ***
DESTIN_GRID_ID572      1.580e+01  3.451e-02   457.91   <2e-16 ***
DESTIN_GRID_ID573      1.680e+01  1.041e-02  1614.27   <2e-16 ***
DESTIN_GRID_ID574      1.619e+01  1.581e-02  1024.34   <2e-16 ***
DESTIN_GRID_ID575      1.787e+01  2.812e-03  6352.96   <2e-16 ***
DESTIN_GRID_ID576      1.568e+01  6.713e-03  2336.22   <2e-16 ***
DESTIN_GRID_ID578      1.234e+01  1.072e-01   115.07   <2e-16 ***
DESTIN_GRID_ID582      1.385e+01  6.316e-02   219.22   <2e-16 ***
DESTIN_GRID_ID583      1.275e+01  3.780e-01    33.74   <2e-16 ***
DESTIN_GRID_ID584      1.553e+01  3.615e-02   429.60   <2e-16 ***
DESTIN_GRID_ID593      1.458e+01  2.564e-02   568.63   <2e-16 ***
DESTIN_GRID_ID594      1.604e+01  1.390e-02  1153.86   <2e-16 ***
DESTIN_GRID_ID595      1.642e+01  6.162e-03  2664.51   <2e-16 ***
DESTIN_GRID_ID596      1.586e+01  5.476e-03  2896.44   <2e-16 ***
DESTIN_GRID_ID597      1.536e+01  1.560e-02   984.67   <2e-16 ***
DESTIN_GRID_ID603      1.397e+01  5.275e-02   264.86   <2e-16 ***
DESTIN_GRID_ID604      1.508e+01  5.084e-02   296.68   <2e-16 ***
DESTIN_GRID_ID615      1.505e+01  1.486e-02  1012.99   <2e-16 ***
DESTIN_GRID_ID616      1.596e+01  9.255e-03  1724.35   <2e-16 ***
DESTIN_GRID_ID617      1.499e+01  9.383e-03  1597.93   <2e-16 ***
DESTIN_GRID_ID618      1.541e+01  7.073e-03  2178.25   <2e-16 ***
DESTIN_GRID_ID620      1.611e+01  1.104e-02  1458.69   <2e-16 ***
DESTIN_GRID_ID637      1.559e+01  1.105e-02  1410.44   <2e-16 ***
DESTIN_GRID_ID638      1.548e+01  6.510e-03  2377.23   <2e-16 ***
DESTIN_GRID_ID657      1.643e+01  7.261e-03  2263.22   <2e-16 ***
DESTIN_GRID_ID658      1.585e+01  6.481e-03  2445.62   <2e-16 ***
DESTIN_GRID_ID659      1.580e+01  6.128e-03  2578.67   <2e-16 ***
DESTIN_GRID_ID660      1.619e+01  4.786e-03  3383.56   <2e-16 ***
DESTIN_GRID_ID662      1.591e+01  1.251e-02  1270.97   <2e-16 ***
DESTIN_GRID_ID677      1.646e+01  9.594e-03  1715.24   <2e-16 ***
DESTIN_GRID_ID678      1.475e+01  1.421e-02  1038.13   <2e-16 ***
DESTIN_GRID_ID679      1.608e+01  5.417e-03  2969.00   <2e-16 ***
DESTIN_GRID_ID680      1.767e+01  2.966e-03  5958.32   <2e-16 ***
DESTIN_GRID_ID681      1.400e+01  2.066e-02   677.52   <2e-16 ***
DESTIN_GRID_ID699      1.599e+01  9.247e-03  1729.15   <2e-16 ***
DESTIN_GRID_ID700      1.555e+01  7.576e-03  2052.44   <2e-16 ***
DESTIN_GRID_ID701      1.330e+01  2.321e-02   572.93   <2e-16 ***
DESTIN_GRID_ID702      1.591e+01  5.358e-03  2968.75   <2e-16 ***
DESTIN_GRID_ID704      1.594e+01  1.113e-02  1432.17   <2e-16 ***
DESTIN_GRID_ID722      1.542e+01  9.155e-03  1684.74   <2e-16 ***
DESTIN_GRID_ID725      1.385e+01  2.769e-02   500.03   <2e-16 ***
DESTIN_GRID_ID741      1.647e+01  7.441e-03  2213.88   <2e-16 ***
DESTIN_GRID_ID743      1.305e+01  2.483e-02   525.72   <2e-16 ***
DESTIN_GRID_ID744      1.599e+01  5.447e-03  2935.39   <2e-16 ***
DESTIN_GRID_ID761      1.667e+01  8.547e-03  1950.85   <2e-16 ***
DESTIN_GRID_ID762      1.475e+01  1.430e-02  1031.80   <2e-16 ***
DESTIN_GRID_ID763      1.332e+01  2.229e-02   597.48   <2e-16 ***
DESTIN_GRID_ID764      1.639e+01  4.195e-03  3907.28   <2e-16 ***
DESTIN_GRID_ID765      1.587e+01  9.864e-03  1608.60   <2e-16 ***
DESTIN_GRID_ID767      1.587e+01  7.312e-03  2170.23   <2e-16 ***
DESTIN_GRID_ID772      1.463e+01  4.116e-02   355.33   <2e-16 ***
DESTIN_GRID_ID784      1.363e+01  2.306e-02   590.90   <2e-16 ***
DESTIN_GRID_ID785      1.550e+01  6.134e-03  2526.43   <2e-16 ***
DESTIN_GRID_ID786      1.582e+01  5.348e-03  2957.77   <2e-16 ***
DESTIN_GRID_ID787      1.527e+01  1.125e-02  1357.87   <2e-16 ***
DESTIN_GRID_ID788      1.405e+01  1.719e-02   817.29   <2e-16 ***
DESTIN_GRID_ID789      1.423e+01  1.879e-02   757.73   <2e-16 ***
DESTIN_GRID_ID803      1.560e+01  1.419e-02  1099.62   <2e-16 ***
DESTIN_GRID_ID804      1.602e+01  6.736e-03  2378.16   <2e-16 ***
DESTIN_GRID_ID805      1.704e+01  3.472e-03  4908.97   <2e-16 ***
DESTIN_GRID_ID806      1.546e+01  6.220e-03  2486.23   <2e-16 ***
DESTIN_GRID_ID807      1.562e+01  7.650e-03  2042.32   <2e-16 ***
DESTIN_GRID_ID808      1.432e+01  1.813e-02   789.96   <2e-16 ***
DESTIN_GRID_ID809      1.581e+01  5.734e-03  2756.41   <2e-16 ***
DESTIN_GRID_ID810      1.562e+01  8.579e-03  1821.07   <2e-16 ***
DESTIN_GRID_ID814      1.548e+01  2.054e-02   753.77   <2e-16 ***
DESTIN_GRID_ID819      2.033e+01  1.604e-02  1267.22   <2e-16 ***
DESTIN_GRID_ID824      1.567e+01  1.401e-02  1118.26   <2e-16 ***
DESTIN_GRID_ID826      1.562e+01  6.487e-03  2408.35   <2e-16 ***
DESTIN_GRID_ID827      1.543e+01  6.983e-03  2209.68   <2e-16 ***
DESTIN_GRID_ID828      1.572e+01  5.539e-03  2837.98   <2e-16 ***
DESTIN_GRID_ID829      1.526e+01  8.513e-03  1792.69   <2e-16 ***
DESTIN_GRID_ID830      1.422e+01  1.491e-02   953.75   <2e-16 ***
DESTIN_GRID_ID831      1.743e+01  3.089e-03  5642.25   <2e-16 ***
DESTIN_GRID_ID832      1.750e+01  3.813e-03  4589.24   <2e-16 ***
DESTIN_GRID_ID835      1.503e+01  2.083e-02   721.77   <2e-16 ***
DESTIN_GRID_ID844      1.546e+01  1.864e-02   829.11   <2e-16 ***
DESTIN_GRID_ID846      1.555e+01  7.586e-03  2050.31   <2e-16 ***
DESTIN_GRID_ID847      1.634e+01  5.123e-03  3190.00   <2e-16 ***
DESTIN_GRID_ID848      1.533e+01  6.961e-03  2202.94   <2e-16 ***
DESTIN_GRID_ID849      1.490e+01  8.605e-03  1731.11   <2e-16 ***
DESTIN_GRID_ID850      1.577e+01  5.870e-03  2686.80   <2e-16 ***
DESTIN_GRID_ID851      1.530e+01  7.028e-03  2176.99   <2e-16 ***
DESTIN_GRID_ID852      1.536e+01  8.557e-03  1795.22   <2e-16 ***
DESTIN_GRID_ID853      1.593e+01  9.185e-03  1734.55   <2e-16 ***
DESTIN_GRID_ID854      1.582e+01  1.438e-02  1100.31   <2e-16 ***
DESTIN_GRID_ID855      1.491e+01  2.010e-02   741.91   <2e-16 ***
DESTIN_GRID_ID856      1.432e+01  3.198e-02   447.84   <2e-16 ***
DESTIN_GRID_ID866      1.616e+01  1.007e-02  1605.06   <2e-16 ***
DESTIN_GRID_ID867      1.692e+01  4.983e-03  3395.79   <2e-16 ***
DESTIN_GRID_ID868      1.640e+01  6.019e-03  2724.63   <2e-16 ***
DESTIN_GRID_ID869      1.732e+01  5.302e-03  3266.16   <2e-16 ***
DESTIN_GRID_ID870      1.694e+01  3.402e-03  4979.00   <2e-16 ***
DESTIN_GRID_ID871      1.718e+01  4.244e-03  4049.08   <2e-16 ***
DESTIN_GRID_ID872      1.567e+01  6.396e-03  2450.29   <2e-16 ***
DESTIN_GRID_ID873      1.532e+01  8.904e-03  1720.36   <2e-16 ***
DESTIN_GRID_ID874      1.426e+01  1.393e-02  1023.74   <2e-16 ***
DESTIN_GRID_ID875      1.449e+01  2.743e-02   528.20   <2e-16 ***
DESTIN_GRID_ID876      1.508e+01  1.899e-02   793.92   <2e-16 ***
DESTIN_GRID_ID877      1.579e+01  1.436e-02  1099.56   <2e-16 ***
DESTIN_GRID_ID887      1.561e+01  9.226e-03  1691.38   <2e-16 ***
DESTIN_GRID_ID888      1.434e+01  1.491e-02   962.19   <2e-16 ***
DESTIN_GRID_ID889      1.529e+01  1.306e-02  1171.45   <2e-16 ***
DESTIN_GRID_ID890      1.605e+01  5.448e-03  2945.92   <2e-16 ***
DESTIN_GRID_ID891      1.487e+01  1.527e-02   973.65   <2e-16 ***
DESTIN_GRID_ID893      1.618e+01  4.820e-03  3357.40   <2e-16 ***
DESTIN_GRID_ID894      1.461e+01  1.155e-02  1265.36   <2e-16 ***
DESTIN_GRID_ID895      1.568e+01  9.269e-03  1691.20   <2e-16 ***
DESTIN_GRID_ID896      1.372e+01  3.377e-02   406.19   <2e-16 ***
DESTIN_GRID_ID897      1.357e+01  3.176e-02   427.25   <2e-16 ***
DESTIN_GRID_ID898      1.556e+01  1.656e-02   939.87   <2e-16 ***
DESTIN_GRID_ID908      1.628e+01  1.100e-02  1479.05   <2e-16 ***
DESTIN_GRID_ID909      1.560e+01  6.758e-03  2308.23   <2e-16 ***
DESTIN_GRID_ID910      1.476e+01  1.194e-02  1236.11   <2e-16 ***
DESTIN_GRID_ID911      1.682e+01  4.411e-03  3813.57   <2e-16 ***
DESTIN_GRID_ID912      1.513e+01  8.268e-03  1829.72   <2e-16 ***
DESTIN_GRID_ID915      1.566e+01  6.316e-03  2479.31   <2e-16 ***
DESTIN_GRID_ID917      1.681e+01  5.890e-03  2853.53   <2e-16 ***
DESTIN_GRID_ID918      1.345e+01  4.013e-02   335.25   <2e-16 ***
DESTIN_GRID_ID919      1.487e+01  1.647e-02   902.95   <2e-16 ***
DESTIN_GRID_ID928      1.440e+01  1.905e-02   755.77   <2e-16 ***
DESTIN_GRID_ID929      1.530e+01  7.875e-03  1943.29   <2e-16 ***
DESTIN_GRID_ID930      1.651e+01  4.270e-03  3866.80   <2e-16 ***
DESTIN_GRID_ID931      1.520e+01  1.086e-02  1400.20   <2e-16 ***
DESTIN_GRID_ID932      1.376e+01  2.526e-02   544.50   <2e-16 ***
DESTIN_GRID_ID933      1.563e+01  8.388e-03  1863.99   <2e-16 ***
DESTIN_GRID_ID934      1.556e+01  7.989e-03  1947.30   <2e-16 ***
DESTIN_GRID_ID935      1.740e+01  3.075e-03  5660.05   <2e-16 ***
DESTIN_GRID_ID938      1.250e+01  1.429e-01    87.47   <2e-16 ***
DESTIN_GRID_ID939      1.764e+01  4.038e-03  4368.12   <2e-16 ***
DESTIN_GRID_ID940      1.471e+01  2.088e-02   704.36   <2e-16 ***
DESTIN_GRID_ID949      1.460e+01  1.571e-02   929.47   <2e-16 ***
DESTIN_GRID_ID950      1.662e+01  5.460e-03  3045.01   <2e-16 ***
DESTIN_GRID_ID951      1.726e+01  3.294e-03  5240.81   <2e-16 ***
DESTIN_GRID_ID952      1.632e+01  8.083e-03  2018.51   <2e-16 ***
DESTIN_GRID_ID953      1.549e+01  9.184e-03  1686.73   <2e-16 ***
DESTIN_GRID_ID954      1.387e+01  1.803e-02   769.38   <2e-16 ***
DESTIN_GRID_ID955      1.659e+01  4.940e-03  3358.59   <2e-16 ***
DESTIN_GRID_ID956      1.498e+01  9.786e-03  1530.30   <2e-16 ***
DESTIN_GRID_ID957      1.527e+01  9.678e-03  1577.63   <2e-16 ***
DESTIN_GRID_ID959      1.544e+01  1.943e-02   794.73   <2e-16 ***
DESTIN_GRID_ID961      1.546e+01  1.256e-02  1231.32   <2e-16 ***
DESTIN_GRID_ID962      1.707e+01  6.072e-03  2811.58   <2e-16 ***
DESTIN_GRID_ID970      1.548e+01  8.276e-03  1870.74   <2e-16 ***
DESTIN_GRID_ID971      1.605e+01  5.054e-03  3175.20   <2e-16 ***
DESTIN_GRID_ID972      1.527e+01  7.926e-03  1927.14   <2e-16 ***
DESTIN_GRID_ID974      1.489e+01  1.155e-02  1288.92   <2e-16 ***
DESTIN_GRID_ID975      1.403e+01  1.786e-02   785.37   <2e-16 ***
DESTIN_GRID_ID976      1.484e+01  1.108e-02  1340.27   <2e-16 ***
DESTIN_GRID_ID977      1.538e+01  7.050e-03  2182.10   <2e-16 ***
DESTIN_GRID_ID978      1.506e+01  1.174e-02  1282.62   <2e-16 ***
DESTIN_GRID_ID982      1.476e+01  1.165e-02  1267.34   <2e-16 ***
DESTIN_GRID_ID983      1.897e+01  4.167e-03  4552.27   <2e-16 ***
DESTIN_GRID_ID984      1.987e+01  5.241e-03  3791.81   <2e-16 ***
DESTIN_GRID_ID991      1.593e+01  7.616e-03  2091.32   <2e-16 ***
DESTIN_GRID_ID992      1.580e+01  6.883e-03  2295.05   <2e-16 ***
DESTIN_GRID_ID993      1.472e+01  1.016e-02  1448.97   <2e-16 ***
DESTIN_GRID_ID994      1.452e+01  1.258e-02  1154.25   <2e-16 ***
DESTIN_GRID_ID995      1.530e+01  8.947e-03  1709.75   <2e-16 ***
DESTIN_GRID_ID996      1.490e+01  1.232e-02  1209.34   <2e-16 ***
DESTIN_GRID_ID997      1.589e+01  1.321e-02  1202.71   <2e-16 ***
DESTIN_GRID_ID998      1.591e+01  6.577e-03  2418.65   <2e-16 ***
DESTIN_GRID_ID999      1.496e+01  1.113e-02  1343.67   <2e-16 ***
DESTIN_GRID_ID1001     1.553e+01  1.623e-02   956.86   <2e-16 ***
DESTIN_GRID_ID1003     1.722e+01  3.710e-03  4641.25   <2e-16 ***
DESTIN_GRID_ID1004     1.632e+01  5.658e-03  2884.65   <2e-16 ***
DESTIN_GRID_ID1011     1.563e+01  1.241e-02  1258.91   <2e-16 ***
DESTIN_GRID_ID1012     1.647e+01  7.967e-03  2066.83   <2e-16 ***
DESTIN_GRID_ID1013     1.588e+01  7.244e-03  2192.48   <2e-16 ***
DESTIN_GRID_ID1014     1.379e+01  1.824e-02   756.18   <2e-16 ***
DESTIN_GRID_ID1015     1.627e+01  5.556e-03  2928.59   <2e-16 ***
DESTIN_GRID_ID1016     1.683e+01  4.471e-03  3764.49   <2e-16 ***
DESTIN_GRID_ID1018     1.518e+01  1.283e-02  1182.99   <2e-16 ***
DESTIN_GRID_ID1019     1.580e+01  6.798e-03  2323.80   <2e-16 ***
DESTIN_GRID_ID1023     1.473e+01  1.408e-02  1046.23   <2e-16 ***
DESTIN_GRID_ID1024     1.598e+01  6.507e-03  2455.46   <2e-16 ***
DESTIN_GRID_ID1025     1.148e+01  1.054e-01   108.89   <2e-16 ***
DESTIN_GRID_ID1033     1.632e+01  6.679e-03  2443.49   <2e-16 ***
DESTIN_GRID_ID1034     1.644e+01  5.172e-03  3177.96   <2e-16 ***
DESTIN_GRID_ID1035     1.628e+01  5.366e-03  3033.20   <2e-16 ***
DESTIN_GRID_ID1036     1.655e+01  4.969e-03  3330.21   <2e-16 ***
DESTIN_GRID_ID1037     1.551e+01  7.159e-03  2166.42   <2e-16 ***
DESTIN_GRID_ID1043     1.624e+01  1.135e-02  1431.16   <2e-16 ***
DESTIN_GRID_ID1045     1.573e+01  6.357e-03  2474.63   <2e-16 ***
DESTIN_GRID_ID1046     1.607e+01  6.250e-03  2571.89   <2e-16 ***
DESTIN_GRID_ID1053     1.666e+01  5.407e-03  3081.42   <2e-16 ***
DESTIN_GRID_ID1054     1.629e+01  5.710e-03  2853.68   <2e-16 ***
DESTIN_GRID_ID1055     1.518e+01  9.506e-03  1597.20   <2e-16 ***
DESTIN_GRID_ID1056     1.477e+01  1.193e-02  1238.20   <2e-16 ***
DESTIN_GRID_ID1064     1.332e+01  8.740e-02   152.44   <2e-16 ***
DESTIN_GRID_ID1066     1.676e+01  4.424e-03  3788.73   <2e-16 ***
DESTIN_GRID_ID1067     1.147e+01  1.429e-01    80.28   <2e-16 ***
DESTIN_GRID_ID1074     1.455e+01  1.521e-02   956.48   <2e-16 ***
DESTIN_GRID_ID1075     1.604e+01  7.318e-03  2191.55   <2e-16 ***
DESTIN_GRID_ID1076     1.550e+01  7.494e-03  2068.05   <2e-16 ***
DESTIN_GRID_ID1077     1.496e+01  1.075e-02  1391.59   <2e-16 ***
DESTIN_GRID_ID1079     1.602e+01  6.584e-03  2433.14   <2e-16 ***
DESTIN_GRID_ID1085     1.443e+01  5.062e-02   285.06   <2e-16 ***
DESTIN_GRID_ID1087     1.586e+01  6.539e-03  2425.44   <2e-16 ***
DESTIN_GRID_ID1088     1.637e+01  5.930e-03  2760.76   <2e-16 ***
DESTIN_GRID_ID1094     1.261e+01  5.595e-02   225.32   <2e-16 ***
DESTIN_GRID_ID1095     1.565e+01  1.566e-02   998.83   <2e-16 ***
DESTIN_GRID_ID1096     1.533e+01  1.636e-02   936.71   <2e-16 ***
DESTIN_GRID_ID1097     1.637e+01  4.787e-03  3419.67   <2e-16 ***
DESTIN_GRID_ID1098     1.395e+01  2.376e-02   587.10   <2e-16 ***
DESTIN_GRID_ID1099     1.531e+01  8.887e-03  1722.63   <2e-16 ***
DESTIN_GRID_ID1105     1.704e+01  9.262e-03  1839.99   <2e-16 ***
DESTIN_GRID_ID1106     1.267e+01  1.016e-01   124.72   <2e-16 ***
DESTIN_GRID_ID1107     1.612e+01  7.766e-03  2075.99   <2e-16 ***
DESTIN_GRID_ID1108     1.792e+01  2.737e-03  6549.65   <2e-16 ***
DESTIN_GRID_ID1109     1.354e+01  3.606e-02   375.46   <2e-16 ***
DESTIN_GRID_ID1116     1.557e+01  9.057e-03  1719.31   <2e-16 ***
DESTIN_GRID_ID1117     1.582e+01  8.326e-03  1899.76   <2e-16 ***
DESTIN_GRID_ID1118     1.396e+01  2.010e-02   694.63   <2e-16 ***
DESTIN_GRID_ID1119     1.470e+01  1.177e-02  1249.55   <2e-16 ***
DESTIN_GRID_ID1120     1.443e+01  1.902e-02   758.54   <2e-16 ***
DESTIN_GRID_ID1129     1.529e+01  8.458e-03  1808.03   <2e-16 ***
DESTIN_GRID_ID1130     1.604e+01  5.847e-03  2743.10   <2e-16 ***
DESTIN_GRID_ID1131     1.705e+01  7.033e-03  2424.86   <2e-16 ***
DESTIN_GRID_ID1136     1.658e+01  5.628e-03  2945.78   <2e-16 ***
DESTIN_GRID_ID1138     1.439e+01  1.961e-02   733.81   <2e-16 ***
DESTIN_GRID_ID1139     1.519e+01  8.167e-03  1859.54   <2e-16 ***
DESTIN_GRID_ID1141     1.534e+01  8.795e-03  1744.23   <2e-16 ***
DESTIN_GRID_ID1148     1.459e+01  3.086e-02   472.79   <2e-16 ***
DESTIN_GRID_ID1149     1.500e+01  1.417e-02  1058.99   <2e-16 ***
DESTIN_GRID_ID1150     1.519e+01  7.411e-03  2050.21   <2e-16 ***
DESTIN_GRID_ID1151     1.585e+01  6.866e-03  2309.07   <2e-16 ***
DESTIN_GRID_ID1158     1.448e+01  1.235e-02  1172.19   <2e-16 ***
DESTIN_GRID_ID1159     1.472e+01  1.030e-02  1430.10   <2e-16 ***
DESTIN_GRID_ID1160     1.636e+01  4.810e-03  3400.47   <2e-16 ***
DESTIN_GRID_ID1171     1.588e+01  6.314e-03  2515.71   <2e-16 ***
DESTIN_GRID_ID1172     1.728e+01  3.372e-03  5125.01   <2e-16 ***
DESTIN_GRID_ID1173     1.673e+01  5.452e-03  3069.06   <2e-16 ***
DESTIN_GRID_ID1174     1.410e+01  4.065e-02   346.88   <2e-16 ***
DESTIN_GRID_ID1178     1.670e+01  4.451e-03  3751.65   <2e-16 ***
DESTIN_GRID_ID1179     1.573e+01  5.998e-03  2623.41   <2e-16 ***
DESTIN_GRID_ID1180     1.594e+01  5.431e-03  2934.85   <2e-16 ***
DESTIN_GRID_ID1181     1.489e+01  9.713e-03  1532.69   <2e-16 ***
DESTIN_GRID_ID1183     1.682e+01  4.891e-03  3438.26   <2e-16 ***
DESTIN_GRID_ID1190     1.497e+01  2.752e-02   544.14   <2e-16 ***
DESTIN_GRID_ID1192     1.613e+01  5.676e-03  2841.07   <2e-16 ***
DESTIN_GRID_ID1193     1.620e+01  5.561e-03  2913.49   <2e-16 ***
DESTIN_GRID_ID1194     1.655e+01  6.363e-03  2601.51   <2e-16 ***
DESTIN_GRID_ID1200     1.539e+01  8.207e-03  1875.14   <2e-16 ***
DESTIN_GRID_ID1201     1.520e+01  8.412e-03  1806.73   <2e-16 ***
DESTIN_GRID_ID1203     1.527e+01  9.055e-03  1686.60   <2e-16 ***
DESTIN_GRID_ID1204     1.525e+01  9.445e-03  1614.18   <2e-16 ***
DESTIN_GRID_ID1211     1.093e+01  4.472e-01    24.44   <2e-16 ***
DESTIN_GRID_ID1214     1.495e+01  9.277e-03  1611.79   <2e-16 ***
DESTIN_GRID_ID1215     1.590e+01  1.184e-02  1343.47   <2e-16 ***
DESTIN_GRID_ID1216     1.628e+01  1.027e-02  1586.06   <2e-16 ***
DESTIN_GRID_ID1220     1.563e+01  6.932e-03  2255.06   <2e-16 ***
DESTIN_GRID_ID1221     1.615e+01  4.938e-03  3271.22   <2e-16 ***
DESTIN_GRID_ID1222     1.519e+01  1.351e-02  1124.61   <2e-16 ***
DESTIN_GRID_ID1223     1.462e+01  1.356e-02  1078.00   <2e-16 ***
DESTIN_GRID_ID1224     1.549e+01  8.434e-03  1837.19   <2e-16 ***
DESTIN_GRID_ID1231     1.332e+01  6.341e-02   210.08   <2e-16 ***
DESTIN_GRID_ID1232     1.509e+01  2.406e-02   627.36   <2e-16 ***
DESTIN_GRID_ID1235     1.589e+01  6.125e-03  2594.07   <2e-16 ***
DESTIN_GRID_ID1236     1.571e+01  8.597e-03  1827.36   <2e-16 ***
DESTIN_GRID_ID1241     1.452e+01  1.291e-02  1125.41   <2e-16 ***
DESTIN_GRID_ID1242     1.481e+01  9.955e-03  1487.21   <2e-16 ***
DESTIN_GRID_ID1243     1.599e+01  5.600e-03  2854.60   <2e-16 ***
DESTIN_GRID_ID1246     1.495e+01  1.009e-02  1481.28   <2e-16 ***
DESTIN_GRID_ID1256     1.507e+01  9.149e-03  1646.85   <2e-16 ***
DESTIN_GRID_ID1257     1.621e+01  6.493e-03  2496.68   <2e-16 ***
DESTIN_GRID_ID1258     1.705e+01  5.556e-03  3068.52   <2e-16 ***
DESTIN_GRID_ID1262     1.416e+01  1.492e-02   949.16   <2e-16 ***
DESTIN_GRID_ID1263     1.645e+01  4.217e-03  3900.39   <2e-16 ***
DESTIN_GRID_ID1264     1.561e+01  7.909e-03  1973.39   <2e-16 ***
DESTIN_GRID_ID1265     1.571e+01  8.716e-03  1802.01   <2e-16 ***
DESTIN_GRID_ID1266     1.586e+01  7.541e-03  2103.21   <2e-16 ***
DESTIN_GRID_ID1267     1.407e+01  2.006e-02   701.68   <2e-16 ***
DESTIN_GRID_ID1272     1.161e+01  1.187e-01    97.83   <2e-16 ***
DESTIN_GRID_ID1273     1.628e+01  7.438e-03  2189.15   <2e-16 ***
DESTIN_GRID_ID1277     1.636e+01  4.847e-03  3375.89   <2e-16 ***
DESTIN_GRID_ID1278     1.603e+01  6.413e-03  2499.41   <2e-16 ***
DESTIN_GRID_ID1283     1.685e+01  4.258e-03  3956.29   <2e-16 ***
DESTIN_GRID_ID1284     1.640e+01  4.610e-03  3557.02   <2e-16 ***
DESTIN_GRID_ID1285     1.602e+01  5.300e-03  3022.68   <2e-16 ***
DESTIN_GRID_ID1286     1.529e+01  1.057e-02  1446.62   <2e-16 ***
DESTIN_GRID_ID1289     1.292e+01  4.059e-02   318.37   <2e-16 ***
DESTIN_GRID_ID1293     1.193e+01  8.740e-02   136.52   <2e-16 ***
DESTIN_GRID_ID1294     1.587e+01  9.425e-03  1683.57   <2e-16 ***
DESTIN_GRID_ID1295     1.375e+01  2.592e-02   530.62   <2e-16 ***
DESTIN_GRID_ID1298     1.552e+01  7.458e-03  2081.20   <2e-16 ***
DESTIN_GRID_ID1299     1.541e+01  9.603e-03  1604.42   <2e-16 ***
DESTIN_GRID_ID1304     1.588e+01  6.376e-03  2491.03   <2e-16 ***
DESTIN_GRID_ID1305     1.593e+01  5.119e-03  3112.20   <2e-16 ***
DESTIN_GRID_ID1307     1.479e+01  1.950e-02   758.25   <2e-16 ***
DESTIN_GRID_ID1308     1.606e+01  6.230e-03  2577.19   <2e-16 ***
DESTIN_GRID_ID1310     1.080e+01  2.236e-01    48.28   <2e-16 ***
DESTIN_GRID_ID1316     1.447e+01  1.625e-02   890.50   <2e-16 ***
DESTIN_GRID_ID1317     1.421e+01  1.472e-02   965.03   <2e-16 ***
DESTIN_GRID_ID1318     1.390e+01  1.800e-02   772.22   <2e-16 ***
DESTIN_GRID_ID1319     1.690e+01  3.998e-03  4227.32   <2e-16 ***
DESTIN_GRID_ID1320     1.483e+01  1.349e-02  1099.28   <2e-16 ***
DESTIN_GRID_ID1324     1.568e+01  2.002e-02   783.35   <2e-16 ***
DESTIN_GRID_ID1325     1.393e+01  1.685e-02   827.09   <2e-16 ***
DESTIN_GRID_ID1326     1.546e+01  6.751e-03  2289.82   <2e-16 ***
DESTIN_GRID_ID1327     1.577e+01  6.052e-03  2606.19   <2e-16 ***
DESTIN_GRID_ID1328     1.561e+01  7.494e-03  2083.18   <2e-16 ***
DESTIN_GRID_ID1329     1.564e+01  1.003e-02  1559.28   <2e-16 ***
DESTIN_GRID_ID1330     1.689e+01  5.741e-03  2941.44   <2e-16 ***
DESTIN_GRID_ID1331     1.058e+01  2.887e-01    36.64   <2e-16 ***
DESTIN_GRID_ID1333     1.414e+01  1.742e-02   811.58   <2e-16 ***
DESTIN_GRID_ID1334     1.465e+01  1.450e-02  1010.39   <2e-16 ***
DESTIN_GRID_ID1335     1.667e+01  6.100e-03  2733.34   <2e-16 ***
DESTIN_GRID_ID1336     1.343e+01  4.845e-02   277.13   <2e-16 ***
DESTIN_GRID_ID1337     1.293e+01  3.513e-02   368.20   <2e-16 ***
DESTIN_GRID_ID1338     1.317e+01  2.890e-02   455.51   <2e-16 ***
DESTIN_GRID_ID1339     1.653e+01  4.563e-03  3621.74   <2e-16 ***
DESTIN_GRID_ID1340     1.497e+01  1.073e-02  1395.42   <2e-16 ***
DESTIN_GRID_ID1341     1.183e+01  9.537e-02   124.02   <2e-16 ***
DESTIN_GRID_ID1346     1.560e+01  8.309e-03  1877.47   <2e-16 ***
DESTIN_GRID_ID1347     1.659e+01  4.386e-03  3782.18   <2e-16 ***
DESTIN_GRID_ID1348     1.530e+01  7.755e-03  1972.29   <2e-16 ***
DESTIN_GRID_ID1349     1.638e+01  6.193e-03  2644.27   <2e-16 ***
DESTIN_GRID_ID1350     1.527e+01  1.425e-02  1071.75   <2e-16 ***
DESTIN_GRID_ID1353     1.541e+01  7.798e-03  1976.60   <2e-16 ***
DESTIN_GRID_ID1354     1.488e+01  1.051e-02  1416.51   <2e-16 ***
DESTIN_GRID_ID1355     1.469e+01  1.226e-02  1198.18   <2e-16 ***
DESTIN_GRID_ID1357     1.427e+01  1.976e-02   721.93   <2e-16 ***
DESTIN_GRID_ID1358     1.662e+01  4.404e-03  3773.11   <2e-16 ***
DESTIN_GRID_ID1359     1.570e+01  6.711e-03  2338.98   <2e-16 ***
DESTIN_GRID_ID1360     1.535e+01  7.490e-03  2049.00   <2e-16 ***
DESTIN_GRID_ID1361     1.525e+01  1.027e-02  1484.71   <2e-16 ***
DESTIN_GRID_ID1362     1.412e+01  2.831e-02   498.83   <2e-16 ***
DESTIN_GRID_ID1368     1.459e+01  1.054e-02  1384.23   <2e-16 ***
DESTIN_GRID_ID1369     1.484e+01  9.536e-03  1555.81   <2e-16 ***
DESTIN_GRID_ID1370     1.650e+01  4.576e-03  3604.51   <2e-16 ***
DESTIN_GRID_ID1371     1.585e+01  7.819e-03  2026.84   <2e-16 ***
DESTIN_GRID_ID1372     1.575e+01  7.310e-03  2154.57   <2e-16 ***
DESTIN_GRID_ID1373     1.268e+01  3.679e-02   344.67   <2e-16 ***
DESTIN_GRID_ID1374     1.386e+01  1.614e-02   858.41   <2e-16 ***
DESTIN_GRID_ID1375     1.572e+01  8.086e-03  1944.41   <2e-16 ***
DESTIN_GRID_ID1376     1.424e+01  1.717e-02   829.62   <2e-16 ***
DESTIN_GRID_ID1379     1.152e+01  7.764e-02   148.36   <2e-16 ***
DESTIN_GRID_ID1380     1.723e+01  3.301e-03  5218.74   <2e-16 ***
DESTIN_GRID_ID1381     1.763e+01  2.981e-03  5914.70   <2e-16 ***
DESTIN_GRID_ID1382     1.679e+01  4.999e-03  3357.95   <2e-16 ***
DESTIN_GRID_ID1383     1.432e+01  1.984e-02   721.67   <2e-16 ***
DESTIN_GRID_ID1388     1.531e+01  7.554e-03  2026.32   <2e-16 ***
DESTIN_GRID_ID1389     1.505e+01  8.393e-03  1792.71   <2e-16 ***
DESTIN_GRID_ID1390     1.547e+01  7.659e-03  2019.94   <2e-16 ***
DESTIN_GRID_ID1391     1.649e+01  5.537e-03  2978.58   <2e-16 ***
DESTIN_GRID_ID1392     1.651e+01  1.169e-02  1413.19   <2e-16 ***
DESTIN_GRID_ID1393     1.515e+01  8.810e-03  1719.68   <2e-16 ***
DESTIN_GRID_ID1394     1.534e+01  6.870e-03  2233.14   <2e-16 ***
DESTIN_GRID_ID1395     1.499e+01  8.038e-03  1864.82   <2e-16 ***
DESTIN_GRID_ID1396     1.589e+01  5.746e-03  2764.72   <2e-16 ***
DESTIN_GRID_ID1397     1.495e+01  9.028e-03  1656.39   <2e-16 ***
DESTIN_GRID_ID1398     1.462e+01  1.551e-02   943.14   <2e-16 ***
DESTIN_GRID_ID1400     1.477e+01  1.165e-02  1267.99   <2e-16 ***
DESTIN_GRID_ID1401     1.650e+01  3.949e-03  4177.27   <2e-16 ***
DESTIN_GRID_ID1402     1.586e+01  5.947e-03  2666.54   <2e-16 ***
DESTIN_GRID_ID1404     1.504e+01  2.633e-02   571.10   <2e-16 ***
DESTIN_GRID_ID1410     1.585e+01  5.715e-03  2773.09   <2e-16 ***
DESTIN_GRID_ID1411     1.539e+01  8.229e-03  1870.03   <2e-16 ***
DESTIN_GRID_ID1412     1.621e+01  5.188e-03  3124.51   <2e-16 ***
DESTIN_GRID_ID1413     1.566e+01  7.208e-03  2172.40   <2e-16 ***
DESTIN_GRID_ID1414     1.552e+01  6.517e-03  2381.34   <2e-16 ***
DESTIN_GRID_ID1415     1.582e+01  5.988e-03  2641.98   <2e-16 ***
DESTIN_GRID_ID1416     1.536e+01  7.584e-03  2025.96   <2e-16 ***
DESTIN_GRID_ID1417     1.555e+01  5.891e-03  2640.20   <2e-16 ***
DESTIN_GRID_ID1418     1.562e+01  6.228e-03  2507.93   <2e-16 ***
DESTIN_GRID_ID1419     1.531e+01  8.060e-03  1899.93   <2e-16 ***
DESTIN_GRID_ID1422     1.567e+01  6.596e-03  2374.90   <2e-16 ***
DESTIN_GRID_ID1423     1.608e+01  5.693e-03  2824.57   <2e-16 ***
DESTIN_GRID_ID1430     1.605e+01  5.896e-03  2721.57   <2e-16 ***
DESTIN_GRID_ID1431     1.637e+01  4.731e-03  3460.74   <2e-16 ***
DESTIN_GRID_ID1432     1.620e+01  4.932e-03  3285.58   <2e-16 ***
DESTIN_GRID_ID1433     1.569e+01  1.027e-02  1527.35   <2e-16 ***
DESTIN_GRID_ID1434     1.637e+01  4.777e-03  3426.90   <2e-16 ***
DESTIN_GRID_ID1435     1.595e+01  5.288e-03  3015.55   <2e-16 ***
DESTIN_GRID_ID1436     1.456e+01  1.113e-02  1307.77   <2e-16 ***
DESTIN_GRID_ID1437     1.526e+01  7.033e-03  2169.83   <2e-16 ***
DESTIN_GRID_ID1438     1.586e+01  4.878e-03  3251.47   <2e-16 ***
DESTIN_GRID_ID1439     1.665e+01  4.039e-03  4121.77   <2e-16 ***
DESTIN_GRID_ID1440     1.597e+01  7.399e-03  2158.31   <2e-16 ***
DESTIN_GRID_ID1442     1.367e+01  1.989e-02   687.31   <2e-16 ***
DESTIN_GRID_ID1443     1.580e+01  6.394e-03  2471.59   <2e-16 ***
DESTIN_GRID_ID1444     1.663e+01  6.376e-03  2607.79   <2e-16 ***
DESTIN_GRID_ID1452     1.678e+01  4.016e-03  4178.93   <2e-16 ***
DESTIN_GRID_ID1453     1.589e+01  6.139e-03  2588.76   <2e-16 ***
DESTIN_GRID_ID1454     1.491e+01  1.317e-02  1131.88   <2e-16 ***
DESTIN_GRID_ID1455     1.568e+01  7.740e-03  2025.38   <2e-16 ***
DESTIN_GRID_ID1456     1.569e+01  6.483e-03  2420.42   <2e-16 ***
DESTIN_GRID_ID1457     1.634e+01  5.170e-03  3161.34   <2e-16 ***
DESTIN_GRID_ID1458     1.705e+01  3.261e-03  5227.62   <2e-16 ***
DESTIN_GRID_ID1459     1.453e+01  9.266e-03  1567.96   <2e-16 ***
DESTIN_GRID_ID1460     1.584e+01  5.115e-03  3096.57   <2e-16 ***
DESTIN_GRID_ID1461     1.574e+01  7.222e-03  2179.39   <2e-16 ***
DESTIN_GRID_ID1464     1.540e+01  7.579e-03  2032.29   <2e-16 ***
DESTIN_GRID_ID1465     1.487e+01  1.227e-02  1211.56   <2e-16 ***
DESTIN_GRID_ID1472     1.576e+01  8.171e-03  1929.31   <2e-16 ***
DESTIN_GRID_ID1473     1.661e+01  4.498e-03  3693.17   <2e-16 ***
DESTIN_GRID_ID1474     1.643e+01  4.342e-03  3783.14   <2e-16 ***
DESTIN_GRID_ID1475     1.604e+01  5.309e-03  3022.40   <2e-16 ***
DESTIN_GRID_ID1476     1.523e+01  7.947e-03  1916.61   <2e-16 ***
DESTIN_GRID_ID1477     1.699e+01  3.184e-03  5336.14   <2e-16 ***
DESTIN_GRID_ID1478     1.554e+01  5.782e-03  2687.08   <2e-16 ***
DESTIN_GRID_ID1479     1.481e+01  7.880e-03  1879.45   <2e-16 ***
DESTIN_GRID_ID1480     1.699e+01  3.234e-03  5254.35   <2e-16 ***
DESTIN_GRID_ID1481     1.557e+01  7.378e-03  2109.89   <2e-16 ***
DESTIN_GRID_ID1482     1.671e+01  5.493e-03  3041.55   <2e-16 ***
DESTIN_GRID_ID1485     1.445e+01  1.397e-02  1034.69   <2e-16 ***
DESTIN_GRID_ID1494     1.648e+01  5.059e-03  3258.55   <2e-16 ***
DESTIN_GRID_ID1495     1.549e+01  6.837e-03  2265.30   <2e-16 ***
DESTIN_GRID_ID1496     1.636e+01  4.399e-03  3718.73   <2e-16 ***
DESTIN_GRID_ID1497     1.514e+01  8.447e-03  1791.92   <2e-16 ***
DESTIN_GRID_ID1498     1.535e+01  7.182e-03  2137.22   <2e-16 ***
DESTIN_GRID_ID1499     1.577e+01  5.069e-03  3111.45   <2e-16 ***
DESTIN_GRID_ID1500     1.525e+01  8.733e-03  1746.61   <2e-16 ***
DESTIN_GRID_ID1501     1.614e+01  4.445e-03  3631.88   <2e-16 ***
DESTIN_GRID_ID1502     1.610e+01  4.873e-03  3304.34   <2e-16 ***
DESTIN_GRID_ID1506     1.361e+01  6.856e-02   198.48   <2e-16 ***
DESTIN_GRID_ID1515     1.529e+01  1.507e-02  1014.60   <2e-16 ***
DESTIN_GRID_ID1516     1.644e+01  4.406e-03  3730.83   <2e-16 ***
DESTIN_GRID_ID1517     1.553e+01  7.602e-03  2043.23   <2e-16 ***
DESTIN_GRID_ID1518     1.489e+01  9.092e-03  1637.63   <2e-16 ***
DESTIN_GRID_ID1519     1.548e+01  8.862e-03  1746.49   <2e-16 ***
DESTIN_GRID_ID1520     1.503e+01  7.491e-03  2005.87   <2e-16 ***
DESTIN_GRID_ID1521     1.505e+01  7.814e-03  1925.89   <2e-16 ***
DESTIN_GRID_ID1522     1.573e+01  5.657e-03  2781.11   <2e-16 ***
DESTIN_GRID_ID1523     1.703e+01  4.878e-03  3491.15   <2e-16 ***
DESTIN_GRID_ID1524     1.484e+01  1.309e-02  1134.04   <2e-16 ***
DESTIN_GRID_ID1527     1.300e+01  3.654e-02   355.92   <2e-16 ***
DESTIN_GRID_ID1535     1.409e+01  6.685e-02   210.85   <2e-16 ***
DESTIN_GRID_ID1536     1.399e+01  2.985e-02   468.72   <2e-16 ***
DESTIN_GRID_ID1537     1.594e+01  6.960e-03  2290.86   <2e-16 ***
DESTIN_GRID_ID1538     1.571e+01  6.101e-03  2575.48   <2e-16 ***
DESTIN_GRID_ID1539     1.569e+01  5.388e-03  2912.65   <2e-16 ***
DESTIN_GRID_ID1540     1.518e+01  6.771e-03  2241.89   <2e-16 ***
DESTIN_GRID_ID1541     1.587e+01  8.041e-03  1973.04   <2e-16 ***
DESTIN_GRID_ID1542     1.512e+01  9.535e-03  1586.19   <2e-16 ***
DESTIN_GRID_ID1543     1.514e+01  2.892e-02   523.32   <2e-16 ***
DESTIN_GRID_ID1544     1.518e+01  9.865e-03  1539.14   <2e-16 ***
DESTIN_GRID_ID1547     1.507e+01  1.520e-02   991.60   <2e-16 ***
DESTIN_GRID_ID1556     1.365e+01  7.182e-02   190.02   <2e-16 ***
DESTIN_GRID_ID1557     1.443e+01  2.154e-02   669.88   <2e-16 ***
DESTIN_GRID_ID1558     1.596e+01  1.404e-02  1136.68   <2e-16 ***
DESTIN_GRID_ID1559     1.622e+01  4.632e-03  3502.68   <2e-16 ***
DESTIN_GRID_ID1560     1.623e+01  4.406e-03  3684.12   <2e-16 ***
DESTIN_GRID_ID1561     1.559e+01  7.382e-03  2111.69   <2e-16 ***
DESTIN_GRID_ID1562     1.351e+01  1.699e-02   795.10   <2e-16 ***
DESTIN_GRID_ID1563     1.448e+01  1.011e-02  1431.58   <2e-16 ***
DESTIN_GRID_ID1564     1.501e+01  8.715e-03  1722.08   <2e-16 ***
DESTIN_GRID_ID1565     1.572e+01  6.688e-03  2350.79   <2e-16 ***
DESTIN_GRID_ID1566     1.410e+01  1.732e-02   814.04   <2e-16 ***
DESTIN_GRID_ID1567     1.457e+01  1.834e-02   794.26   <2e-16 ***
DESTIN_GRID_ID1568     1.562e+01  1.167e-02  1338.69   <2e-16 ***
DESTIN_GRID_ID1578     1.430e+01  1.111e-01   128.69   <2e-16 ***
DESTIN_GRID_ID1580     1.329e+01  2.960e-02   449.16   <2e-16 ***
DESTIN_GRID_ID1581     1.591e+01  5.452e-03  2919.26   <2e-16 ***
DESTIN_GRID_ID1582     1.609e+01  4.558e-03  3530.93   <2e-16 ***
DESTIN_GRID_ID1583     1.462e+01  2.231e-02   655.35   <2e-16 ***
DESTIN_GRID_ID1584     1.459e+01  1.287e-02  1133.36   <2e-16 ***
DESTIN_GRID_ID1585     1.497e+01  9.218e-03  1623.43   <2e-16 ***
DESTIN_GRID_ID1586     1.586e+01  5.758e-03  2753.73   <2e-16 ***
DESTIN_GRID_ID1589     1.428e+01  2.244e-02   636.33   <2e-16 ***
DESTIN_GRID_ID1590     1.536e+01  1.384e-02  1109.87   <2e-16 ***
DESTIN_GRID_ID1600     1.524e+01  1.619e-02   941.33   <2e-16 ***
DESTIN_GRID_ID1601     1.498e+01  7.992e-03  1874.32   <2e-16 ***
DESTIN_GRID_ID1602     1.541e+01  7.518e-03  2049.19   <2e-16 ***
DESTIN_GRID_ID1603     1.648e+01  4.508e-03  3654.78   <2e-16 ***
DESTIN_GRID_ID1604     1.433e+01  1.152e-02  1243.67   <2e-16 ***
DESTIN_GRID_ID1605     1.538e+01  6.384e-03  2409.85   <2e-16 ***
DESTIN_GRID_ID1606     1.482e+01  1.534e-02   966.32   <2e-16 ***
DESTIN_GRID_ID1607     1.622e+01  4.672e-03  3471.56   <2e-16 ***
DESTIN_GRID_ID1608     1.546e+01  7.053e-03  2192.00   <2e-16 ***
DESTIN_GRID_ID1609     1.627e+01  5.552e-03  2930.92   <2e-16 ***
DESTIN_GRID_ID1610     1.435e+01  2.795e-02   513.54   <2e-16 ***
DESTIN_GRID_ID1622     1.582e+01  1.209e-02  1309.00   <2e-16 ***
DESTIN_GRID_ID1623     1.601e+01  4.848e-03  3301.60   <2e-16 ***
DESTIN_GRID_ID1624     1.653e+01  4.357e-03  3794.11   <2e-16 ***
DESTIN_GRID_ID1625     1.574e+01  6.213e-03  2532.66   <2e-16 ***
DESTIN_GRID_ID1626     1.743e+01  3.014e-03  5782.40   <2e-16 ***
DESTIN_GRID_ID1627     1.448e+01  9.510e-03  1522.16   <2e-16 ***
DESTIN_GRID_ID1628     1.654e+01  4.071e-03  4063.82   <2e-16 ***
DESTIN_GRID_ID1629     1.380e+01  1.622e-02   851.07   <2e-16 ***
DESTIN_GRID_ID1630     1.449e+01  1.266e-02  1145.02   <2e-16 ***
DESTIN_GRID_ID1631     1.432e+01  1.806e-02   792.93   <2e-16 ***
DESTIN_GRID_ID1642     1.346e+01  3.360e-02   400.65   <2e-16 ***
DESTIN_GRID_ID1643     1.549e+01  6.418e-03  2414.28   <2e-16 ***
DESTIN_GRID_ID1644     1.554e+01  8.374e-03  1856.07   <2e-16 ***
DESTIN_GRID_ID1645     1.540e+01  6.971e-03  2208.86   <2e-16 ***
DESTIN_GRID_ID1646     1.581e+01  8.303e-03  1903.94   <2e-16 ***
DESTIN_GRID_ID1647     1.512e+01  6.843e-03  2210.03   <2e-16 ***
DESTIN_GRID_ID1648     1.536e+01  6.156e-03  2495.51   <2e-16 ***
DESTIN_GRID_ID1649     1.602e+01  4.719e-03  3394.74   <2e-16 ***
DESTIN_GRID_ID1650     1.527e+01  7.987e-03  1911.54   <2e-16 ***
DESTIN_GRID_ID1664     1.177e+01  1.313e-01    89.65   <2e-16 ***
DESTIN_GRID_ID1665     1.612e+01  4.651e-03  3466.47   <2e-16 ***
DESTIN_GRID_ID1666     1.617e+01  4.571e-03  3538.07   <2e-16 ***
DESTIN_GRID_ID1667     1.544e+01  1.475e-02  1046.69   <2e-16 ***
DESTIN_GRID_ID1668     1.508e+01  7.525e-03  2004.52   <2e-16 ***
DESTIN_GRID_ID1670     1.587e+01  4.917e-03  3228.11   <2e-16 ***
DESTIN_GRID_ID1671     1.526e+01  1.224e-02  1246.53   <2e-16 ***
DESTIN_GRID_ID1672     1.458e+01  1.320e-02  1104.89   <2e-16 ***
DESTIN_GRID_ID1684     1.612e+01  9.284e-03  1736.63   <2e-16 ***
DESTIN_GRID_ID1685     1.481e+01  9.992e-03  1482.18   <2e-16 ***
DESTIN_GRID_ID1686     1.555e+01  6.187e-03  2514.18   <2e-16 ***
DESTIN_GRID_ID1687     1.596e+01  7.260e-03  2198.51   <2e-16 ***
DESTIN_GRID_ID1688     1.511e+01  7.538e-03  2004.98   <2e-16 ***
DESTIN_GRID_ID1689     1.451e+01  1.066e-02  1361.34   <2e-16 ***
DESTIN_GRID_ID1690     1.397e+01  1.416e-02   986.67   <2e-16 ***
DESTIN_GRID_ID1691     1.609e+01  4.708e-03  3416.50   <2e-16 ***
DESTIN_GRID_ID1692     1.403e+01  1.542e-02   909.57   <2e-16 ***
DESTIN_GRID_ID1706     1.553e+01  8.333e-03  1863.51   <2e-16 ***
DESTIN_GRID_ID1707     1.464e+01  9.102e-03  1608.85   <2e-16 ***
DESTIN_GRID_ID1708     1.523e+01  7.105e-03  2143.23   <2e-16 ***
DESTIN_GRID_ID1709     1.601e+01  5.171e-03  3097.02   <2e-16 ***
DESTIN_GRID_ID1710     1.597e+01  5.461e-03  2924.96   <2e-16 ***
DESTIN_GRID_ID1711     1.654e+01  4.080e-03  4054.91   <2e-16 ***
DESTIN_GRID_ID1712     1.574e+01  4.963e-03  3171.02   <2e-16 ***
DESTIN_GRID_ID1713     1.343e+01  1.679e-02   800.03   <2e-16 ***
DESTIN_GRID_ID1714     1.493e+01  9.137e-03  1633.71   <2e-16 ***
DESTIN_GRID_ID1727     1.605e+01  6.061e-03  2647.88   <2e-16 ***
DESTIN_GRID_ID1728     1.593e+01  5.132e-03  3104.23   <2e-16 ***
DESTIN_GRID_ID1729     1.606e+01  4.875e-03  3295.04   <2e-16 ***
DESTIN_GRID_ID1730     1.518e+01  8.707e-03  1743.96   <2e-16 ***
DESTIN_GRID_ID1731     1.614e+01  4.975e-03  3244.79   <2e-16 ***
DESTIN_GRID_ID1732     1.556e+01  5.395e-03  2883.59   <2e-16 ***
DESTIN_GRID_ID1733     1.455e+01  9.059e-03  1606.46   <2e-16 ***
DESTIN_GRID_ID1734     1.583e+01  5.248e-03  3015.92   <2e-16 ***
DESTIN_GRID_ID1735     1.513e+01  1.621e-02   933.24   <2e-16 ***
DESTIN_GRID_ID1748     1.507e+01  9.887e-03  1524.23   <2e-16 ***
DESTIN_GRID_ID1749     1.609e+01  4.703e-03  3421.90   <2e-16 ***
DESTIN_GRID_ID1750     1.605e+01  4.825e-03  3325.91   <2e-16 ***
DESTIN_GRID_ID1751     1.565e+01  6.729e-03  2325.64   <2e-16 ***
DESTIN_GRID_ID1753     1.600e+01  4.948e-03  3233.77   <2e-16 ***
DESTIN_GRID_ID1754     1.698e+01  3.209e-03  5292.06   <2e-16 ***
DESTIN_GRID_ID1755     1.638e+01  3.979e-03  4116.13   <2e-16 ***
DESTIN_GRID_ID1756     1.544e+01  6.150e-03  2511.24   <2e-16 ***
DESTIN_GRID_ID1757     1.416e+01  2.292e-02   617.56   <2e-16 ***
DESTIN_GRID_ID1769     1.579e+01  6.528e-03  2418.40   <2e-16 ***
DESTIN_GRID_ID1770     1.530e+01  8.793e-03  1740.40   <2e-16 ***
DESTIN_GRID_ID1771     1.610e+01  5.579e-03  2885.20   <2e-16 ***
DESTIN_GRID_ID1772     1.702e+01  7.209e-03  2361.48   <2e-16 ***
DESTIN_GRID_ID1774     1.512e+01  7.475e-03  2022.90   <2e-16 ***
DESTIN_GRID_ID1775     1.472e+01  8.270e-03  1780.32   <2e-16 ***
DESTIN_GRID_ID1776     1.694e+01  3.239e-03  5229.94   <2e-16 ***
DESTIN_GRID_ID1777     1.521e+01  7.646e-03  1989.57   <2e-16 ***
DESTIN_GRID_ID1778     1.439e+01  2.277e-02   632.10   <2e-16 ***
DESTIN_GRID_ID1790     1.625e+01  5.811e-03  2796.50   <2e-16 ***
DESTIN_GRID_ID1791     1.560e+01  7.014e-03  2223.67   <2e-16 ***
DESTIN_GRID_ID1792     1.579e+01  7.575e-03  2084.92   <2e-16 ***
DESTIN_GRID_ID1793     1.577e+01  6.268e-03  2515.80   <2e-16 ***
DESTIN_GRID_ID1794     1.730e+01  7.604e-03  2274.67   <2e-16 ***
DESTIN_GRID_ID1795     1.354e+01  2.150e-02   629.90   <2e-16 ***
DESTIN_GRID_ID1796     1.573e+01  5.700e-03  2759.73   <2e-16 ***
DESTIN_GRID_ID1797     1.539e+01  5.951e-03  2585.96   <2e-16 ***
DESTIN_GRID_ID1798     1.573e+01  5.610e-03  2804.83   <2e-16 ***
DESTIN_GRID_ID1799     1.496e+01  9.334e-03  1602.60   <2e-16 ***
DESTIN_GRID_ID1800     1.293e+01  6.472e-02   199.82   <2e-16 ***
DESTIN_GRID_ID1811     1.542e+01  8.936e-03  1725.62   <2e-16 ***
DESTIN_GRID_ID1812     1.653e+01  3.956e-03  4179.97   <2e-16 ***
DESTIN_GRID_ID1813     1.673e+01  3.752e-03  4460.46   <2e-16 ***
DESTIN_GRID_ID1817     1.399e+01  1.411e-02   991.04   <2e-16 ***
DESTIN_GRID_ID1818     1.534e+01  6.152e-03  2493.46   <2e-16 ***
DESTIN_GRID_ID1819     1.702e+01  3.274e-03  5197.42   <2e-16 ***
DESTIN_GRID_ID1820     1.281e+01  5.042e-02   254.00   <2e-16 ***
DESTIN_GRID_ID1832     1.659e+01  5.090e-03  3258.64   <2e-16 ***
DESTIN_GRID_ID1833     1.521e+01  7.814e-03  1947.18   <2e-16 ***
DESTIN_GRID_ID1834     1.514e+01  7.244e-03  2090.18   <2e-16 ***
DESTIN_GRID_ID1835     1.525e+01  8.005e-03  1904.82   <2e-16 ***
DESTIN_GRID_ID1837     1.527e+01  1.421e-02  1074.38   <2e-16 ***
DESTIN_GRID_ID1839     1.409e+01  1.382e-02  1019.69   <2e-16 ***
DESTIN_GRID_ID1840     1.684e+01  3.615e-03  4658.72   <2e-16 ***
DESTIN_GRID_ID1841     1.354e+01  2.815e-02   481.08   <2e-16 ***
DESTIN_GRID_ID1842     1.506e+01  1.635e-02   921.32   <2e-16 ***
DESTIN_GRID_ID1853     1.577e+01  6.269e-03  2515.90   <2e-16 ***
DESTIN_GRID_ID1854     1.592e+01  5.658e-03  2813.58   <2e-16 ***
DESTIN_GRID_ID1855     1.616e+01  5.023e-03  3215.94   <2e-16 ***
DESTIN_GRID_ID1858     1.629e+01  8.549e-03  1905.80   <2e-16 ***
DESTIN_GRID_ID1860     1.465e+01  2.211e-02   662.83   <2e-16 ***
DESTIN_GRID_ID1861     1.571e+01  6.238e-03  2518.04   <2e-16 ***
DESTIN_GRID_ID1874     1.543e+01  1.072e-02  1439.44   <2e-16 ***
DESTIN_GRID_ID1875     1.367e+01  2.393e-02   571.42   <2e-16 ***
DESTIN_GRID_ID1876     1.509e+01  2.466e-02   611.79   <2e-16 ***
DESTIN_GRID_ID1877     1.593e+01  5.424e-03  2936.74   <2e-16 ***
DESTIN_GRID_ID1880     1.541e+01  1.418e-02  1087.04   <2e-16 ***
DESTIN_GRID_ID1882     1.555e+01  6.782e-03  2293.51   <2e-16 ***
DESTIN_GRID_ID1883     1.434e+01  2.159e-02   664.23   <2e-16 ***
DESTIN_GRID_ID1895     1.622e+01  5.502e-03  2948.90   <2e-16 ***
DESTIN_GRID_ID1896     1.517e+01  8.239e-03  1841.40   <2e-16 ***
DESTIN_GRID_ID1897     1.435e+01  1.318e-02  1089.27   <2e-16 ***
DESTIN_GRID_ID1898     1.405e+01  2.562e-02   548.22   <2e-16 ***
DESTIN_GRID_ID1901     1.483e+01  2.049e-02   723.52   <2e-16 ***
DESTIN_GRID_ID1903     1.406e+01  1.924e-02   730.84   <2e-16 ***
DESTIN_GRID_ID1917     1.505e+01  9.994e-03  1505.45   <2e-16 ***
DESTIN_GRID_ID1918     1.630e+01  6.991e-03  2331.62   <2e-16 ***
DESTIN_GRID_ID1919     1.615e+01  5.136e-03  3143.39   <2e-16 ***
DESTIN_GRID_ID1922     1.596e+01  1.076e-02  1483.32   <2e-16 ***
DESTIN_GRID_ID1924     1.364e+01  2.390e-02   570.70   <2e-16 ***
DESTIN_GRID_ID1937     1.561e+01  8.089e-03  1930.16   <2e-16 ***
DESTIN_GRID_ID1938     1.631e+01  4.971e-03  3281.27   <2e-16 ***
DESTIN_GRID_ID1939     1.503e+01  9.521e-03  1578.34   <2e-16 ***
DESTIN_GRID_ID1942     1.482e+01  1.917e-02   772.79   <2e-16 ***
DESTIN_GRID_ID1959     1.511e+01  1.044e-02  1447.63   <2e-16 ***
DESTIN_GRID_ID1960     1.734e+01  3.044e-03  5695.76   <2e-16 ***
DESTIN_GRID_ID1961     1.484e+01  1.033e-02  1436.70   <2e-16 ***
DESTIN_GRID_ID1962     1.567e+01  6.471e-03  2422.33   <2e-16 ***
DESTIN_GRID_ID1964     1.653e+01  1.132e-02  1460.41   <2e-16 ***
DESTIN_GRID_ID1979     1.560e+01  8.717e-03  1790.08   <2e-16 ***
DESTIN_GRID_ID1980     1.546e+01  7.282e-03  2123.06   <2e-16 ***
DESTIN_GRID_ID1981     1.536e+01  7.710e-03  1992.09   <2e-16 ***
DESTIN_GRID_ID1982     1.567e+01  8.177e-03  1915.82   <2e-16 ***
DESTIN_GRID_ID1983     1.563e+01  6.575e-03  2376.51   <2e-16 ***
DESTIN_GRID_ID1984     1.569e+01  6.483e-03  2419.50   <2e-16 ***
DESTIN_GRID_ID1985     1.591e+01  6.147e-03  2588.16   <2e-16 ***
DESTIN_GRID_ID2001     1.550e+01  7.177e-03  2159.87   <2e-16 ***
DESTIN_GRID_ID2002     1.557e+01  5.844e-03  2664.66   <2e-16 ***
DESTIN_GRID_ID2003     1.611e+01  4.855e-03  3318.92   <2e-16 ***
DESTIN_GRID_ID2004     1.639e+01  4.679e-03  3503.25   <2e-16 ***
DESTIN_GRID_ID2005     1.536e+01  7.026e-03  2186.77   <2e-16 ***
DESTIN_GRID_ID2006     1.643e+01  5.021e-03  3272.94   <2e-16 ***
DESTIN_GRID_ID2007     1.317e+01  3.310e-02   397.94   <2e-16 ***
DESTIN_GRID_ID2022     1.616e+01  7.070e-03  2286.07   <2e-16 ***
DESTIN_GRID_ID2023     1.604e+01  5.158e-03  3110.68   <2e-16 ***
DESTIN_GRID_ID2024     1.631e+01  4.358e-03  3742.95   <2e-16 ***
DESTIN_GRID_ID2025     1.510e+01  7.350e-03  2054.84   <2e-16 ***
DESTIN_GRID_ID2026     1.435e+01  1.287e-02  1115.40   <2e-16 ***
DESTIN_GRID_ID2027     1.639e+01  4.749e-03  3450.27   <2e-16 ***
DESTIN_GRID_ID2043     1.459e+01  1.264e-02  1154.09   <2e-16 ***
DESTIN_GRID_ID2044     1.558e+01  6.450e-03  2415.90   <2e-16 ***
DESTIN_GRID_ID2045     1.482e+01  1.249e-02  1186.70   <2e-16 ***
DESTIN_GRID_ID2046     1.629e+01  4.134e-03  3940.53   <2e-16 ***
DESTIN_GRID_ID2047     1.445e+01  1.039e-02  1390.80   <2e-16 ***
DESTIN_GRID_ID2048     1.475e+01  9.533e-03  1547.31   <2e-16 ***
DESTIN_GRID_ID2049     1.316e+01  3.038e-02   433.11   <2e-16 ***
DESTIN_GRID_ID2064     1.548e+01  7.661e-03  2020.39   <2e-16 ***
DESTIN_GRID_ID2065     1.539e+01  7.615e-03  2021.24   <2e-16 ***
DESTIN_GRID_ID2066     1.291e+01  3.802e-02   339.61   <2e-16 ***
DESTIN_GRID_ID2067     1.764e+01  2.754e-03  6402.60   <2e-16 ***
DESTIN_GRID_ID2068     1.445e+01  1.541e-02   937.63   <2e-16 ***
DESTIN_GRID_ID2069     1.497e+01  9.460e-03  1582.67   <2e-16 ***
DESTIN_GRID_ID2085     1.562e+01  7.808e-03  2000.44   <2e-16 ***
DESTIN_GRID_ID2086     1.679e+01  4.152e-03  4043.86   <2e-16 ***
DESTIN_GRID_ID2087     1.646e+01  4.420e-03  3724.47   <2e-16 ***
DESTIN_GRID_ID2088     1.533e+01  6.254e-03  2451.78   <2e-16 ***
DESTIN_GRID_ID2089     1.496e+01  9.516e-03  1572.31   <2e-16 ***
DESTIN_GRID_ID2090     1.743e+01  3.089e-03  5642.30   <2e-16 ***
DESTIN_GRID_ID2091     1.245e+01  7.110e-02   175.05   <2e-16 ***
DESTIN_GRID_ID2105     1.535e+01  6.656e-02   230.54   <2e-16 ***
DESTIN_GRID_ID2106     1.415e+01  1.579e-02   896.07   <2e-16 ***
DESTIN_GRID_ID2107     1.672e+01  4.223e-03  3959.24   <2e-16 ***
DESTIN_GRID_ID2108     1.631e+01  5.110e-03  3191.99   <2e-16 ***
DESTIN_GRID_ID2109     1.496e+01  7.426e-03  2014.55   <2e-16 ***
DESTIN_GRID_ID2110     1.452e+01  1.266e-02  1147.17   <2e-16 ***
DESTIN_GRID_ID2111     1.344e+01  3.624e-02   371.02   <2e-16 ***
DESTIN_GRID_ID2128     1.605e+01  8.678e-03  1850.01   <2e-16 ***
DESTIN_GRID_ID2129     1.541e+01  1.119e-02  1376.60   <2e-16 ***
DESTIN_GRID_ID2130     1.540e+01  6.068e-03  2536.99   <2e-16 ***
DESTIN_GRID_ID2131     1.536e+01  7.884e-03  1948.12   <2e-16 ***
DESTIN_GRID_ID2132     1.511e+01  8.576e-03  1762.08   <2e-16 ***
DESTIN_GRID_ID2148     1.494e+01  1.696e-02   880.95   <2e-16 ***
DESTIN_GRID_ID2149     1.499e+01  1.174e-02  1277.65   <2e-16 ***
DESTIN_GRID_ID2150     1.501e+01  9.550e-03  1571.18   <2e-16 ***
DESTIN_GRID_ID2151     1.681e+01  3.509e-03  4790.99   <2e-16 ***
DESTIN_GRID_ID2152     1.580e+01  5.821e-03  2714.36   <2e-16 ***
DESTIN_GRID_ID2153     1.464e+01  1.255e-02  1166.85   <2e-16 ***
DESTIN_GRID_ID2171     1.598e+01  6.189e-03  2581.65   <2e-16 ***
DESTIN_GRID_ID2172     1.438e+01  1.230e-02  1169.25   <2e-16 ***
DESTIN_GRID_ID2173     1.495e+01  7.998e-03  1869.29   <2e-16 ***
DESTIN_GRID_ID2174     1.572e+01  7.001e-03  2244.77   <2e-16 ***
DESTIN_GRID_ID2191     1.621e+01  8.569e-03  1891.78   <2e-16 ***
DESTIN_GRID_ID2192     1.501e+01  1.165e-02  1288.13   <2e-16 ***
DESTIN_GRID_ID2193     1.568e+01  6.771e-03  2315.28   <2e-16 ***
DESTIN_GRID_ID2194     1.568e+01  6.251e-03  2508.25   <2e-16 ***
DESTIN_GRID_ID2195     1.427e+01  4.116e-02   346.83   <2e-16 ***
DESTIN_GRID_ID2212     1.702e+01  1.408e-02  1209.53   <2e-16 ***
DESTIN_GRID_ID2213     1.598e+01  9.250e-03  1727.32   <2e-16 ***
DESTIN_GRID_ID2214     1.688e+01  7.265e-03  2323.38   <2e-16 ***
DESTIN_GRID_ID2215     1.489e+01  1.045e-02  1425.06   <2e-16 ***
DESTIN_GRID_ID2216     1.593e+01  6.390e-03  2492.81   <2e-16 ***
DESTIN_GRID_ID2233     1.676e+01  1.028e-02  1630.75   <2e-16 ***
DESTIN_GRID_ID2234     1.716e+01  8.506e-03  2017.91   <2e-16 ***
DESTIN_GRID_ID2235     1.599e+01  9.513e-03  1680.33   <2e-16 ***
DESTIN_GRID_ID2236     1.446e+01  1.420e-02  1018.71   <2e-16 ***
DESTIN_GRID_ID2237     1.592e+01  1.171e-02  1359.40   <2e-16 ***
DESTIN_GRID_ID2256     1.623e+01  1.275e-02  1272.99   <2e-16 ***
DESTIN_GRID_ID2257     1.360e+01  2.944e-02   461.93   <2e-16 ***
DESTIN_GRID_ID2258     1.566e+01  7.661e-03  2043.95   <2e-16 ***
DESTIN_GRID_ID2259     1.672e+01  1.061e-02  1576.12   <2e-16 ***
DESTIN_GRID_ID2277     1.517e+01  2.654e-02   571.59   <2e-16 ***
DESTIN_GRID_ID2278     1.498e+01  1.753e-02   854.93   <2e-16 ***
DESTIN_GRID_ID2279     1.574e+01  7.861e-03  2001.82   <2e-16 ***
DESTIN_GRID_ID2280     1.434e+01  3.439e-02   416.93   <2e-16 ***
DESTIN_GRID_ID2297     1.473e+01  2.098e-02   701.96   <2e-16 ***
DESTIN_GRID_ID2300     1.483e+01  2.102e-02   705.80   <2e-16 ***
DESTIN_GRID_ID2301     1.541e+01  1.032e-02  1493.80   <2e-16 ***
DESTIN_GRID_ID2318     1.709e+01  6.183e-03  2764.99   <2e-16 ***
DESTIN_GRID_ID2319     1.706e+01  5.845e-03  2918.79   <2e-16 ***
DESTIN_GRID_ID2322     1.567e+01  1.031e-02  1518.89   <2e-16 ***
DESTIN_GRID_ID2337     1.670e+01  1.732e-02   964.31   <2e-16 ***
DESTIN_GRID_ID2341     1.723e+01  5.867e-03  2937.51   <2e-16 ***
DESTIN_GRID_ID2343     1.490e+01  1.443e-02  1032.59   <2e-16 ***
DESTIN_GRID_ID2361     1.603e+01  1.007e-02  1592.20   <2e-16 ***
DESTIN_GRID_ID2364     1.359e+01  3.639e-02   373.52   <2e-16 ***
DESTIN_GRID_ID2379     1.594e+01  2.599e-02   613.15   <2e-16 ***
DESTIN_GRID_ID2384     1.685e+01  7.206e-03  2337.97   <2e-16 ***
DESTIN_GRID_ID2405     1.756e+01  5.101e-03  3443.18   <2e-16 ***
DESTIN_GRID_ID2406     1.454e+01  2.430e-02   598.39   <2e-16 ***
DESTIN_GRID_ID2426     1.693e+01  1.137e-02  1489.45   <2e-16 ***
DESTIN_GRID_ID2427     1.713e+01  7.129e-03  2402.71   <2e-16 ***
DESTIN_GRID_ID2505     1.728e+01  1.953e-02   884.97   <2e-16 ***
log(ORIGIN_RENTAL_CT)  3.331e-03  9.551e-05    34.88   <2e-16 ***
log(ORIGIN_2ROOM_CT)   1.448e-02  1.176e-04   123.10   <2e-16 ***
log(ORIGIN_3ROOM_CT)   1.232e-02  9.526e-05   129.35   <2e-16 ***
log(ORIGIN_4ROOM_CT)   3.329e-02  1.890e-04   176.10   <2e-16 ***
log(ORIGIN_5ROOM_CT)   9.408e-02  1.927e-04   488.23   <2e-16 ***
log(ORIGIN_EXEC_CT)    4.538e-02  9.763e-05   464.85   <2e-16 ***
log(ORIGIN_STUDIO_CT)  6.125e-03  1.430e-04    42.84   <2e-16 ***
log(dist)             -1.416e+00  2.888e-04 -4904.88   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 276215117  on 62120  degrees of freedom
Residual deviance:  31076048  on 61294  degrees of freedom
AIC: 31413072

Number of Fisher Scoring iterations: 8

Doubly Constrained SIM Output

The R-squared value of 0.59 tells us that the explanatory variables are able to explain 59 % of the variance in the TRIPS target variable.

CalcRSquared(dbcSIM$data$TRIPS, dbcSIM$fitted.values)
[1] 0.5897933

The explanatory variable ‘distance’ is staitstically significant and has a coefficient of -0.159.

dbcSIM$coefficients[1]
(Intercept) 
   14.49957 
dbcSIM$coefficients[1635]
log(dist) 
-1.588491 
summary(dbcSIM)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + DESTIN_GRID_ID + log(dist), 
    family = poisson(link = "log"), data = flow_data1, na.action = na.exclude)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-217.87    -8.91    -3.06     2.58   387.35  

Coefficients:
                     Estimate Std. Error   z value Pr(>|z|)    
(Intercept)        14.4995737  0.1405229   103.183  < 2e-16 ***
ORIGIN_GRID_ID44    1.7056185  0.2004186     8.510  < 2e-16 ***
ORIGIN_GRID_ID46   -0.1467601  0.1618183    -0.907 0.364436    
ORIGIN_GRID_ID66    1.4079544  0.1872682     7.518 5.55e-14 ***
ORIGIN_GRID_ID67    1.7858665  0.1317516    13.555  < 2e-16 ***
ORIGIN_GRID_ID68   -0.6458621  0.1733066    -3.727 0.000194 ***
ORIGIN_GRID_ID86   -0.4812676  0.1543778    -3.117 0.001824 ** 
ORIGIN_GRID_ID87    3.3484453  0.1505756    22.238  < 2e-16 ***
ORIGIN_GRID_ID88    2.3745407  0.1304762    18.199  < 2e-16 ***
ORIGIN_GRID_ID89    0.2003904  0.1389305     1.442 0.149196    
ORIGIN_GRID_ID90    0.9121014  0.1837089     4.965 6.87e-07 ***
ORIGIN_GRID_ID109   0.3374593  0.1681154     2.007 0.044717 *  
ORIGIN_GRID_ID110   0.5220464  0.1528295     3.416 0.000636 ***
ORIGIN_GRID_ID111   3.9132098  0.1300257    30.096  < 2e-16 ***
ORIGIN_GRID_ID112   0.1043026  0.1479787     0.705 0.480905    
ORIGIN_GRID_ID128   3.0501922  0.1328349    22.962  < 2e-16 ***
ORIGIN_GRID_ID129   0.3435998  0.2294048     1.498 0.134188    
ORIGIN_GRID_ID130   1.2640907  0.1413194     8.945  < 2e-16 ***
ORIGIN_GRID_ID131   1.8830749  0.1337220    14.082  < 2e-16 ***
ORIGIN_GRID_ID132   0.1682472  0.1412622     1.191 0.233643    
ORIGIN_GRID_ID133   1.0811357  0.1360628     7.946 1.93e-15 ***
ORIGIN_GRID_ID134   4.1188943  0.1328219    31.011  < 2e-16 ***
ORIGIN_GRID_ID150   4.1722876  0.1311427    31.815  < 2e-16 ***
ORIGIN_GRID_ID151   0.4327105  0.1535217     2.819 0.004824 ** 
ORIGIN_GRID_ID152   0.2180987  0.1561854     1.396 0.162591    
ORIGIN_GRID_ID153   1.4524080  0.1371681    10.589  < 2e-16 ***
ORIGIN_GRID_ID154   4.1305781  0.1295147    31.893  < 2e-16 ***
ORIGIN_GRID_ID155   0.9760504  0.1351619     7.221 5.15e-13 ***
ORIGIN_GRID_ID156   1.6919869  0.1406782    12.027  < 2e-16 ***
ORIGIN_GRID_ID172   2.3089306  0.1458963    15.826  < 2e-16 ***
ORIGIN_GRID_ID174   1.1016926  0.1381941     7.972 1.56e-15 ***
ORIGIN_GRID_ID175   3.8108284  0.1298083    29.357  < 2e-16 ***
ORIGIN_GRID_ID176   4.8300292  0.1293904    37.329  < 2e-16 ***
ORIGIN_GRID_ID195  -0.0891281  0.1564900    -0.570 0.568986    
ORIGIN_GRID_ID196   0.9041214  0.1363315     6.632 3.32e-11 ***
ORIGIN_GRID_ID197   0.0773601  0.1861108     0.416 0.677654    
ORIGIN_GRID_ID215   1.4496648  0.1628894     8.900  < 2e-16 ***
ORIGIN_GRID_ID216   5.2418091  0.1295177    40.472  < 2e-16 ***
ORIGIN_GRID_ID217   2.3685387  0.1312764    18.042  < 2e-16 ***
ORIGIN_GRID_ID237   0.4374744  0.3281544     1.333 0.182487    
ORIGIN_GRID_ID238   0.8413778  0.1502061     5.601 2.13e-08 ***
ORIGIN_GRID_ID239   1.1068227  0.1939436     5.707 1.15e-08 ***
ORIGIN_GRID_ID257   0.2025771  0.1438887     1.408 0.159169    
ORIGIN_GRID_ID258   2.2499550  0.1326450    16.962  < 2e-16 ***
ORIGIN_GRID_ID259   1.4811751  0.1358451    10.903  < 2e-16 ***
ORIGIN_GRID_ID278   1.6241431  0.1350958    12.022  < 2e-16 ***
ORIGIN_GRID_ID279   0.4203812  0.1383974     3.037 0.002386 ** 
ORIGIN_GRID_ID280   0.9470532  0.1389435     6.816 9.35e-12 ***
ORIGIN_GRID_ID298  -3.1158059  0.3996761    -7.796 6.40e-15 ***
ORIGIN_GRID_ID299   0.1412003  0.1426904     0.990 0.322390    
ORIGIN_GRID_ID300   4.1790626  0.1297150    32.217  < 2e-16 ***
ORIGIN_GRID_ID320  -0.2674725  0.1396215    -1.916 0.055404 .  
ORIGIN_GRID_ID321   0.8255990  0.1524912     5.414 6.16e-08 ***
ORIGIN_GRID_ID322   2.5827879  0.1357718    19.023  < 2e-16 ***
ORIGIN_GRID_ID340   1.9864620  0.1332500    14.908  < 2e-16 ***
ORIGIN_GRID_ID341  -0.1167022  0.1389926    -0.840 0.401116    
ORIGIN_GRID_ID342   2.0007361  0.1363843    14.670  < 2e-16 ***
ORIGIN_GRID_ID363   1.5855978  0.1356125    11.692  < 2e-16 ***
ORIGIN_GRID_ID364   2.1537747  0.1323674    16.271  < 2e-16 ***
ORIGIN_GRID_ID383   1.0480369  0.1338339     7.831 4.84e-15 ***
ORIGIN_GRID_ID384   0.5098754  0.1397421     3.649 0.000264 ***
ORIGIN_GRID_ID385   0.8798758  0.1471813     5.978 2.26e-09 ***
ORIGIN_GRID_ID404   2.1439835  0.1331749    16.099  < 2e-16 ***
ORIGIN_GRID_ID405   0.5438981  0.1412133     3.852 0.000117 ***
ORIGIN_GRID_ID406   5.9920842  0.1294253    46.298  < 2e-16 ***
ORIGIN_GRID_ID407   1.9659636  0.1387032    14.174  < 2e-16 ***
ORIGIN_GRID_ID408   2.7054865  0.1319557    20.503  < 2e-16 ***
ORIGIN_GRID_ID425  -0.6394889  0.1660384    -3.851 0.000117 ***
ORIGIN_GRID_ID426   1.4885415  0.1331511    11.179  < 2e-16 ***
ORIGIN_GRID_ID427   0.6586706  0.1382639     4.764 1.90e-06 ***
ORIGIN_GRID_ID428   0.1307966  0.1799603     0.727 0.467343    
ORIGIN_GRID_ID429   2.3308281  0.1312850    17.754  < 2e-16 ***
ORIGIN_GRID_ID446   0.9486316  0.1481095     6.405 1.50e-10 ***
ORIGIN_GRID_ID447   0.9111894  0.1358665     6.707 1.99e-11 ***
ORIGIN_GRID_ID448   1.9589998  0.1324704    14.788  < 2e-16 ***
ORIGIN_GRID_ID449   5.1782842  0.1296044    39.955  < 2e-16 ***
ORIGIN_GRID_ID450   2.1379933  0.1311217    16.305  < 2e-16 ***
ORIGIN_GRID_ID468   1.8118052  0.1335927    13.562  < 2e-16 ***
ORIGIN_GRID_ID469   3.1383156  0.1303711    24.072  < 2e-16 ***
ORIGIN_GRID_ID470   5.2269773  0.1295387    40.351  < 2e-16 ***
ORIGIN_GRID_ID471   3.0058591  0.1306853    23.001  < 2e-16 ***
ORIGIN_GRID_ID488   0.6492692  0.1425139     4.556 5.22e-06 ***
ORIGIN_GRID_ID489  -1.0676049  0.2130489    -5.011 5.41e-07 ***
ORIGIN_GRID_ID490   3.6286983  0.1300446    27.903  < 2e-16 ***
ORIGIN_GRID_ID491   4.1342385  0.1296879    31.878  < 2e-16 ***
ORIGIN_GRID_ID493  -1.6306677  0.2537623    -6.426 1.31e-10 ***
ORIGIN_GRID_ID494   0.7434058  0.1520371     4.890 1.01e-06 ***
ORIGIN_GRID_ID509   0.6666130  0.1352734     4.928 8.31e-07 ***
ORIGIN_GRID_ID510   1.4552065  0.1322857    11.000  < 2e-16 ***
ORIGIN_GRID_ID511   3.0370244  0.1299491    23.371  < 2e-16 ***
ORIGIN_GRID_ID512   5.7576825  0.1294786    44.468  < 2e-16 ***
ORIGIN_GRID_ID513   2.1644251  0.1324025    16.347  < 2e-16 ***
ORIGIN_GRID_ID514   1.4074056  0.1410082     9.981  < 2e-16 ***
ORIGIN_GRID_ID515   0.0068605  0.2586018     0.027 0.978835    
ORIGIN_GRID_ID530  -0.2654633  0.1580716    -1.679 0.093077 .  
ORIGIN_GRID_ID531   1.9451152  0.1311507    14.831  < 2e-16 ***
ORIGIN_GRID_ID532   1.3547510  0.1322679    10.242  < 2e-16 ***
ORIGIN_GRID_ID533   5.4251355  0.1294795    41.900  < 2e-16 ***
ORIGIN_GRID_ID534   6.0474931  0.1294926    46.701  < 2e-16 ***
ORIGIN_GRID_ID536   2.7709226  0.1323696    20.933  < 2e-16 ***
ORIGIN_GRID_ID537   0.4167593  0.2322772     1.794 0.072776 .  
ORIGIN_GRID_ID538   0.3453631  0.2888676     1.196 0.231862    
ORIGIN_GRID_ID539   0.1670732  1.0089951     0.166 0.868485    
ORIGIN_GRID_ID551  -0.2244546  0.1415171    -1.586 0.112726    
ORIGIN_GRID_ID552   2.2522397  0.1349767    16.686  < 2e-16 ***
ORIGIN_GRID_ID553   1.8154373  0.1308048    13.879  < 2e-16 ***
ORIGIN_GRID_ID554   5.3605884  0.1294871    41.399  < 2e-16 ***
ORIGIN_GRID_ID555   4.6261607  0.1296861    35.672  < 2e-16 ***
ORIGIN_GRID_ID559   1.1649950  0.1680287     6.933 4.11e-12 ***
ORIGIN_GRID_ID560   3.2871330  0.1414631    23.237  < 2e-16 ***
ORIGIN_GRID_ID561  -1.3533937  1.0097290    -1.340 0.180130    
ORIGIN_GRID_ID572  -2.5354013  0.5919866    -4.283 1.84e-05 ***
ORIGIN_GRID_ID573   0.1289562  0.1380210     0.934 0.350137    
ORIGIN_GRID_ID574   1.7583129  0.1349887    13.026  < 2e-16 ***
ORIGIN_GRID_ID575   6.3884591  0.1294574    49.348  < 2e-16 ***
ORIGIN_GRID_ID576   4.9806951  0.1295448    38.448  < 2e-16 ***
ORIGIN_GRID_ID578   0.3778852  0.1662897     2.272 0.023059 *  
ORIGIN_GRID_ID582   0.6240475  0.1702608     3.665 0.000247 ***
ORIGIN_GRID_ID583   1.5835599  0.5919019     2.675 0.007465 ** 
ORIGIN_GRID_ID584   3.9878945  0.1421301    28.058  < 2e-16 ***
ORIGIN_GRID_ID593   1.3303539  0.1396792     9.524  < 2e-16 ***
ORIGIN_GRID_ID594   1.4025884  0.1322023    10.609  < 2e-16 ***
ORIGIN_GRID_ID595   1.6684085  0.1309936    12.737  < 2e-16 ***
ORIGIN_GRID_ID596   4.7212115  0.1295171    36.452  < 2e-16 ***
ORIGIN_GRID_ID597   2.0074015  0.1432597    14.012  < 2e-16 ***
ORIGIN_GRID_ID603   1.1787352  0.1754663     6.718 1.85e-11 ***
ORIGIN_GRID_ID604   1.6409448  0.2319562     7.074 1.50e-12 ***
ORIGIN_GRID_ID615  -0.0619261  0.1391143    -0.445 0.656215    
ORIGIN_GRID_ID616   1.1284613  0.1336131     8.446  < 2e-16 ***
ORIGIN_GRID_ID617   2.0251545  0.1308888    15.472  < 2e-16 ***
ORIGIN_GRID_ID618   5.4103085  0.1295004    41.778  < 2e-16 ***
ORIGIN_GRID_ID620   2.7695120  0.1334350    20.756  < 2e-16 ***
ORIGIN_GRID_ID637   0.8374534  0.1372380     6.102 1.05e-09 ***
ORIGIN_GRID_ID638   4.8231890  0.1295164    37.240  < 2e-16 ***
ORIGIN_GRID_ID657   2.6629766  0.1306477    20.383  < 2e-16 ***
ORIGIN_GRID_ID658   4.1673799  0.1296183    32.151  < 2e-16 ***
ORIGIN_GRID_ID659   4.3800872  0.1295687    33.805  < 2e-16 ***
ORIGIN_GRID_ID660   5.4602873  0.1294929    42.167  < 2e-16 ***
ORIGIN_GRID_ID662   5.5933020  0.1296765    43.133  < 2e-16 ***
ORIGIN_GRID_ID677   2.5565081  0.1316760    19.415  < 2e-16 ***
ORIGIN_GRID_ID678   0.3595870  0.1388140     2.590 0.009586 ** 
ORIGIN_GRID_ID679   5.3856357  0.1295009    41.588  < 2e-16 ***
ORIGIN_GRID_ID680   5.6466524  0.1294998    43.604  < 2e-16 ***
ORIGIN_GRID_ID681   4.3872850  0.1297513    33.813  < 2e-16 ***
ORIGIN_GRID_ID699   2.0733704  0.1316539    15.749  < 2e-16 ***
ORIGIN_GRID_ID700   4.3730388  0.1296040    33.742  < 2e-16 ***
ORIGIN_GRID_ID701   4.2565724  0.1296069    32.842  < 2e-16 ***
ORIGIN_GRID_ID702   5.3070412  0.1294987    40.981  < 2e-16 ***
ORIGIN_GRID_ID704   2.4221633  0.1339788    18.079  < 2e-16 ***
ORIGIN_GRID_ID722   2.0293990  0.1310936    15.481  < 2e-16 ***
ORIGIN_GRID_ID725   1.9829463  0.1360974    14.570  < 2e-16 ***
ORIGIN_GRID_ID741   2.6348977  0.1305826    20.178  < 2e-16 ***
ORIGIN_GRID_ID743   2.8170010  0.1301557    21.643  < 2e-16 ***
ORIGIN_GRID_ID744   4.8474265  0.1295384    37.421  < 2e-16 ***
ORIGIN_GRID_ID761   2.0736496  0.1330384    15.587  < 2e-16 ***
ORIGIN_GRID_ID762   4.1413547  0.1296742    31.937  < 2e-16 ***
ORIGIN_GRID_ID763   1.2997496  0.1329934     9.773  < 2e-16 ***
ORIGIN_GRID_ID764   5.3656376  0.1294984    41.434  < 2e-16 ***
ORIGIN_GRID_ID765   4.6443951  0.1297445    35.796  < 2e-16 ***
ORIGIN_GRID_ID767   6.4904800  0.1295131    50.114  < 2e-16 ***
ORIGIN_GRID_ID772   1.1046116  0.1532452     7.208 5.67e-13 ***
ORIGIN_GRID_ID784   1.2241278  0.1326018     9.232  < 2e-16 ***
ORIGIN_GRID_ID785   4.5292675  0.1295288    34.967  < 2e-16 ***
ORIGIN_GRID_ID786   4.2382271  0.1296076    32.700  < 2e-16 ***
ORIGIN_GRID_ID787   4.8220290  0.1296783    37.185  < 2e-16 ***
ORIGIN_GRID_ID788   5.7028043  0.1295788    44.010  < 2e-16 ***
ORIGIN_GRID_ID789   4.1392340  0.1299457    31.854  < 2e-16 ***
ORIGIN_GRID_ID803   0.1089926  0.1447726     0.753 0.451538    
ORIGIN_GRID_ID804   5.1644291  0.1295247    39.872  < 2e-16 ***
ORIGIN_GRID_ID805   5.1801604  0.1294982    40.002  < 2e-16 ***
ORIGIN_GRID_ID806   4.8589581  0.1295278    37.513  < 2e-16 ***
ORIGIN_GRID_ID807   5.9055258  0.1295305    45.592  < 2e-16 ***
ORIGIN_GRID_ID808   4.1213100  0.1299694    31.710  < 2e-16 ***
ORIGIN_GRID_ID809   5.8755040  0.1295045    45.369  < 2e-16 ***
ORIGIN_GRID_ID810   5.1149791  0.1296048    39.466  < 2e-16 ***
ORIGIN_GRID_ID814   3.0238756  0.1325530    22.813  < 2e-16 ***
ORIGIN_GRID_ID819   5.2076844  0.1310243    39.746  < 2e-16 ***
ORIGIN_GRID_ID824   1.2193227  0.1361904     8.953  < 2e-16 ***
ORIGIN_GRID_ID826   2.8012168  0.1299005    21.564  < 2e-16 ***
ORIGIN_GRID_ID827   4.8032244  0.1295160    37.086  < 2e-16 ***
ORIGIN_GRID_ID828   5.2143004  0.1295084    40.262  < 2e-16 ***
ORIGIN_GRID_ID829   5.2712399  0.1295409    40.692  < 2e-16 ***
ORIGIN_GRID_ID830   5.5628680  0.1295647    42.935  < 2e-16 ***
ORIGIN_GRID_ID831   6.4085138  0.1294886    49.491  < 2e-16 ***
ORIGIN_GRID_ID832   5.4951650  0.1296508    42.384  < 2e-16 ***
ORIGIN_GRID_ID835   2.9242252  0.1329011    22.003  < 2e-16 ***
ORIGIN_GRID_ID844   0.3067812  0.1512441     2.028 0.042521 *  
ORIGIN_GRID_ID846   4.2138943  0.1295746    32.521  < 2e-16 ***
ORIGIN_GRID_ID847   3.2219161  0.1298746    24.808  < 2e-16 ***
ORIGIN_GRID_ID848   4.5827310  0.1295496    35.374  < 2e-16 ***
ORIGIN_GRID_ID849   3.8358095  0.1297083    29.573  < 2e-16 ***
ORIGIN_GRID_ID850   4.6864622  0.1295872    36.165  < 2e-16 ***
ORIGIN_GRID_ID851   5.2971460  0.1295265    40.896  < 2e-16 ***
ORIGIN_GRID_ID852   4.8317913  0.1296266    37.275  < 2e-16 ***
ORIGIN_GRID_ID853   6.8239596  0.1295364    52.680  < 2e-16 ***
ORIGIN_GRID_ID854   3.1997570  0.1321632    24.211  < 2e-16 ***
ORIGIN_GRID_ID855   1.7317701  0.1373101    12.612  < 2e-16 ***
ORIGIN_GRID_ID856   3.3998908  0.1309194    25.969  < 2e-16 ***
ORIGIN_GRID_ID866   2.1395552  0.1326413    16.130  < 2e-16 ***
ORIGIN_GRID_ID867   3.0549809  0.1300651    23.488  < 2e-16 ***
ORIGIN_GRID_ID868   2.0989570  0.1313019    15.986  < 2e-16 ***
ORIGIN_GRID_ID869   4.9992864  0.1296005    38.575  < 2e-16 ***
ORIGIN_GRID_ID870   5.7593886  0.1294867    44.479  < 2e-16 ***
ORIGIN_GRID_ID871   5.5657428  0.1296080    42.943  < 2e-16 ***
ORIGIN_GRID_ID872   3.4871318  0.1299979    26.825  < 2e-16 ***
ORIGIN_GRID_ID873   3.6993847  0.1299132    28.476  < 2e-16 ***
ORIGIN_GRID_ID874   4.0430648  0.1297308    31.165  < 2e-16 ***
ORIGIN_GRID_ID875   0.9334575  0.1470915     6.346 2.21e-10 ***
ORIGIN_GRID_ID876   2.1625170  0.1332906    16.224  < 2e-16 ***
ORIGIN_GRID_ID877   1.6068358  0.1364543    11.776  < 2e-16 ***
ORIGIN_GRID_ID887   2.4454302  0.1302465    18.775  < 2e-16 ***
ORIGIN_GRID_ID888   3.9112234  0.1296742    30.162  < 2e-16 ***
ORIGIN_GRID_ID889   0.8291158  0.1340936     6.183 6.28e-10 ***
ORIGIN_GRID_ID890   5.2020499  0.1295078    40.168  < 2e-16 ***
ORIGIN_GRID_ID891   3.9275250  0.1299965    30.213  < 2e-16 ***
ORIGIN_GRID_ID893   5.3498227  0.1295191    41.305  < 2e-16 ***
ORIGIN_GRID_ID894   3.5930136  0.1299111    27.657  < 2e-16 ***
ORIGIN_GRID_ID895   3.0911795  0.1304272    23.700  < 2e-16 ***
ORIGIN_GRID_ID896   1.8565266  0.1331883    13.939  < 2e-16 ***
ORIGIN_GRID_ID897   0.0947568  0.1496291     0.633 0.526552    
ORIGIN_GRID_ID898   2.3687643  0.1337180    17.715  < 2e-16 ***
ORIGIN_GRID_ID908   3.9094075  0.1301066    30.048  < 2e-16 ***
ORIGIN_GRID_ID909   3.9165043  0.1295976    30.221  < 2e-16 ***
ORIGIN_GRID_ID910   2.0585684  0.1306074    15.762  < 2e-16 ***
ORIGIN_GRID_ID911   3.3505325  0.1298021    25.813  < 2e-16 ***
ORIGIN_GRID_ID912   4.9287760  0.1295271    38.052  < 2e-16 ***
ORIGIN_GRID_ID915   5.2444423  0.1295311    40.488  < 2e-16 ***
ORIGIN_GRID_ID917   4.7954964  0.1296767    36.980  < 2e-16 ***
ORIGIN_GRID_ID918   1.0901332  0.1360598     8.012 1.13e-15 ***
ORIGIN_GRID_ID919   4.2762302  0.1298084    32.943  < 2e-16 ***
ORIGIN_GRID_ID928   2.7517068  0.1303520    21.110  < 2e-16 ***
ORIGIN_GRID_ID929   4.3466880  0.1295386    33.555  < 2e-16 ***
ORIGIN_GRID_ID930   5.1947824  0.1294898    40.117  < 2e-16 ***
ORIGIN_GRID_ID931   2.1575890  0.1307451    16.502  < 2e-16 ***
ORIGIN_GRID_ID932   2.6832660  0.1307685    20.519  < 2e-16 ***
ORIGIN_GRID_ID933   4.7951907  0.1295879    37.003  < 2e-16 ***
ORIGIN_GRID_ID934   2.2555287  0.1310370    17.213  < 2e-16 ***
ORIGIN_GRID_ID935   6.1140919  0.1294879    47.217  < 2e-16 ***
ORIGIN_GRID_ID938  -1.8252160  0.3061150    -5.963 2.48e-09 ***
ORIGIN_GRID_ID939   6.0170462  0.1295306    46.453  < 2e-16 ***
ORIGIN_GRID_ID940   0.1081432  0.1603140     0.675 0.499948    
ORIGIN_GRID_ID949   2.6084733  0.1302994    20.019  < 2e-16 ***
ORIGIN_GRID_ID950   4.7661122  0.1295592    36.787  < 2e-16 ***
ORIGIN_GRID_ID951   5.6275391  0.1294811    43.462  < 2e-16 ***
ORIGIN_GRID_ID952   2.3360064  0.1313998    17.778  < 2e-16 ***
ORIGIN_GRID_ID953   3.5094374  0.1298630    27.024  < 2e-16 ***
ORIGIN_GRID_ID954   2.3986121  0.1307558    18.344  < 2e-16 ***
ORIGIN_GRID_ID955   4.6642394  0.1295889    35.993  < 2e-16 ***
ORIGIN_GRID_ID956   3.0702847  0.1300381    23.611  < 2e-16 ***
ORIGIN_GRID_ID957   5.2517968  0.1295950    40.525  < 2e-16 ***
ORIGIN_GRID_ID959   1.2499285  0.1401534     8.918  < 2e-16 ***
ORIGIN_GRID_ID961   1.1866988  0.1343222     8.835  < 2e-16 ***
ORIGIN_GRID_ID962   6.3903145  0.1296782    49.278  < 2e-16 ***
ORIGIN_GRID_ID970   3.1708829  0.1297415    24.440  < 2e-16 ***
ORIGIN_GRID_ID971   4.5045177  0.1295141    34.780  < 2e-16 ***
ORIGIN_GRID_ID972   4.4470243  0.1295433    34.328  < 2e-16 ***
ORIGIN_GRID_ID974   4.0559613  0.1296893    31.274  < 2e-16 ***
ORIGIN_GRID_ID975   3.7116491  0.1297952    28.596  < 2e-16 ***
ORIGIN_GRID_ID976   2.4544326  0.1306291    18.789  < 2e-16 ***
ORIGIN_GRID_ID977   5.6183860  0.1295093    43.382  < 2e-16 ***
ORIGIN_GRID_ID978   5.5393084  0.1296562    42.723  < 2e-16 ***
ORIGIN_GRID_ID982   2.4188039  0.1305569    18.527  < 2e-16 ***
ORIGIN_GRID_ID983   7.2878643  0.1295237    56.267  < 2e-16 ***
ORIGIN_GRID_ID984   7.6407732  0.1295809    58.965  < 2e-16 ***
ORIGIN_GRID_ID991   3.1509144  0.1298285    24.270  < 2e-16 ***
ORIGIN_GRID_ID992   3.5208655  0.1296576    27.155  < 2e-16 ***
ORIGIN_GRID_ID993   3.2074262  0.1297070    24.728  < 2e-16 ***
ORIGIN_GRID_ID994   2.7606704  0.1300012    21.236  < 2e-16 ***
ORIGIN_GRID_ID995   4.2498313  0.1295888    32.795  < 2e-16 ***
ORIGIN_GRID_ID996   3.9478079  0.1297127    30.435  < 2e-16 ***
ORIGIN_GRID_ID997   2.7064645  0.1328969    20.365  < 2e-16 ***
ORIGIN_GRID_ID998   5.7296831  0.1295143    44.240  < 2e-16 ***
ORIGIN_GRID_ID999   5.7186915  0.1295921    44.128  < 2e-16 ***
ORIGIN_GRID_ID1001  2.6040201  0.1320751    19.716  < 2e-16 ***
ORIGIN_GRID_ID1003  5.2369208  0.1295368    40.428  < 2e-16 ***
ORIGIN_GRID_ID1004  5.9990456  0.1295063    46.322  < 2e-16 ***
ORIGIN_GRID_ID1011  1.3666674  0.1339577    10.202  < 2e-16 ***
ORIGIN_GRID_ID1012  0.9479672  0.1360491     6.968 3.22e-12 ***
ORIGIN_GRID_ID1013  1.8407945  0.1308433    14.069  < 2e-16 ***
ORIGIN_GRID_ID1014  2.7422472  0.1300013    21.094  < 2e-16 ***
ORIGIN_GRID_ID1015  2.0462886  0.1308089    15.643  < 2e-16 ***
ORIGIN_GRID_ID1016  3.8825679  0.1297019    29.935  < 2e-16 ***
ORIGIN_GRID_ID1018  4.6191926  0.1298591    35.571  < 2e-16 ***
ORIGIN_GRID_ID1019  6.1377706  0.1295535    47.376  < 2e-16 ***
ORIGIN_GRID_ID1023  4.2143551  0.1298230    32.462  < 2e-16 ***
ORIGIN_GRID_ID1024  5.2489282  0.1295466    40.518  < 2e-16 ***
ORIGIN_GRID_ID1025  0.4583978  0.1461970     3.135 0.001716 ** 
ORIGIN_GRID_ID1033  2.4813134  0.1301224    19.069  < 2e-16 ***
ORIGIN_GRID_ID1034  3.5051673  0.1296971    27.026  < 2e-16 ***
ORIGIN_GRID_ID1035  4.2831008  0.1295783    33.054  < 2e-16 ***
ORIGIN_GRID_ID1036  2.0779189  0.1307404    15.893  < 2e-16 ***
ORIGIN_GRID_ID1037  3.4941789  0.1296890    26.943  < 2e-16 ***
ORIGIN_GRID_ID1043  2.5518687  0.1322257    19.299  < 2e-16 ***
ORIGIN_GRID_ID1045  4.9065742  0.1295434    37.876  < 2e-16 ***
ORIGIN_GRID_ID1046  4.8577906  0.1295733    37.491  < 2e-16 ***
ORIGIN_GRID_ID1053  4.0825772  0.1296066    31.500  < 2e-16 ***
ORIGIN_GRID_ID1054  2.9573413  0.1297957    22.785  < 2e-16 ***
ORIGIN_GRID_ID1055  4.1412171  0.1295720    31.961  < 2e-16 ***
ORIGIN_GRID_ID1056  3.1452592  0.1298463    24.223  < 2e-16 ***
ORIGIN_GRID_ID1064  0.1911943  0.2889232     0.662 0.508133    
ORIGIN_GRID_ID1066  4.5892565  0.1295716    35.419  < 2e-16 ***
ORIGIN_GRID_ID1067 -0.9381733  0.2417461    -3.881 0.000104 ***
ORIGIN_GRID_ID1074  3.3669451  0.1297343    25.953  < 2e-16 ***
ORIGIN_GRID_ID1075  2.5512241  0.1300288    19.620  < 2e-16 ***
ORIGIN_GRID_ID1076  2.8439299  0.1298005    21.910  < 2e-16 ***
ORIGIN_GRID_ID1077  3.0049637  0.1299470    23.125  < 2e-16 ***
ORIGIN_GRID_ID1079  4.4165248  0.1295814    34.083  < 2e-16 ***
ORIGIN_GRID_ID1085 -1.4981541  0.2215701    -6.762 1.37e-11 ***
ORIGIN_GRID_ID1087  4.5927598  0.1296033    35.437  < 2e-16 ***
ORIGIN_GRID_ID1088  2.8748266  0.1300714    22.102  < 2e-16 ***
ORIGIN_GRID_ID1094  1.3962279  0.1386703    10.069  < 2e-16 ***
ORIGIN_GRID_ID1095  0.7893261  0.1368251     5.769 7.98e-09 ***
ORIGIN_GRID_ID1096  2.8257300  0.1314627    21.495  < 2e-16 ***
ORIGIN_GRID_ID1097  4.8052363  0.1295141    37.102  < 2e-16 ***
ORIGIN_GRID_ID1098  2.4069979  0.1309952    18.375  < 2e-16 ***
ORIGIN_GRID_ID1099  3.8293449  0.1296617    29.533  < 2e-16 ***
ORIGIN_GRID_ID1105  1.3077117  0.1520166     8.602  < 2e-16 ***
ORIGIN_GRID_ID1106 -0.2475297  0.1736414    -1.426 0.154006    
ORIGIN_GRID_ID1107  2.1835427  0.1331075    16.404  < 2e-16 ***
ORIGIN_GRID_ID1108  6.5289289  0.1294875    50.421  < 2e-16 ***
ORIGIN_GRID_ID1109  1.6528906  0.1324742    12.477  < 2e-16 ***
ORIGIN_GRID_ID1116  3.1823085  0.1297989    24.517  < 2e-16 ***
ORIGIN_GRID_ID1117  1.5139620  0.1314888    11.514  < 2e-16 ***
ORIGIN_GRID_ID1118  2.0054300  0.1311094    15.296  < 2e-16 ***
ORIGIN_GRID_ID1119  2.9931278  0.1299525    23.032  < 2e-16 ***
ORIGIN_GRID_ID1120  2.9601262  0.1302904    22.719  < 2e-16 ***
ORIGIN_GRID_ID1129  4.9013389  0.1295592    37.831  < 2e-16 ***
ORIGIN_GRID_ID1130  4.9530928  0.1295282    38.239  < 2e-16 ***
ORIGIN_GRID_ID1131  2.8525581  0.1306682    21.831  < 2e-16 ***
ORIGIN_GRID_ID1136  2.2222793  0.1304086    17.041  < 2e-16 ***
ORIGIN_GRID_ID1138  1.0248323  0.1357161     7.551 4.31e-14 ***
ORIGIN_GRID_ID1139  3.9785733  0.1295767    30.704  < 2e-16 ***
ORIGIN_GRID_ID1141  3.9544964  0.1296318    30.506  < 2e-16 ***
ORIGIN_GRID_ID1148  1.3228071  0.1408319     9.393  < 2e-16 ***
ORIGIN_GRID_ID1149  2.6795326  0.1310207    20.451  < 2e-16 ***
ORIGIN_GRID_ID1150  5.1800176  0.1295180    39.995  < 2e-16 ***
ORIGIN_GRID_ID1151  4.0546868  0.1296418    31.276  < 2e-16 ***
ORIGIN_GRID_ID1158  2.2655029  0.1300784    17.416  < 2e-16 ***
ORIGIN_GRID_ID1159  3.7576290  0.1296012    28.994  < 2e-16 ***
ORIGIN_GRID_ID1160  4.8053581  0.1295167    37.102  < 2e-16 ***
ORIGIN_GRID_ID1171  5.7585356  0.1295290    44.457  < 2e-16 ***
ORIGIN_GRID_ID1172  5.5656572  0.1295264    42.969  < 2e-16 ***
ORIGIN_GRID_ID1173  2.8534939  0.1301916    21.918  < 2e-16 ***
ORIGIN_GRID_ID1174 -1.3566427  0.2889056    -4.696 2.66e-06 ***
ORIGIN_GRID_ID1178  2.5078415  0.1300079    19.290  < 2e-16 ***
ORIGIN_GRID_ID1179  3.1812537  0.1296953    24.529  < 2e-16 ***
ORIGIN_GRID_ID1180  4.2827654  0.1295412    33.061  < 2e-16 ***
ORIGIN_GRID_ID1181  3.5676398  0.1296590    27.516  < 2e-16 ***
ORIGIN_GRID_ID1183  2.6734408  0.1302634    20.523  < 2e-16 ***
ORIGIN_GRID_ID1190  1.6279070  0.1391281    11.701  < 2e-16 ***
ORIGIN_GRID_ID1192  4.4424530  0.1296382    34.268  < 2e-16 ***
ORIGIN_GRID_ID1193  4.4269340  0.1295858    34.162  < 2e-16 ***
ORIGIN_GRID_ID1194  2.6377398  0.1304249    20.224  < 2e-16 ***
ORIGIN_GRID_ID1200  3.3459193  0.1296655    25.804  < 2e-16 ***
ORIGIN_GRID_ID1201  3.1272543  0.1297051    24.110  < 2e-16 ***
ORIGIN_GRID_ID1203  4.0399726  0.1296156    31.169  < 2e-16 ***
ORIGIN_GRID_ID1204  3.8887776  0.1296384    29.997  < 2e-16 ***
ORIGIN_GRID_ID1211  0.3628379  0.2538880     1.429 0.152968    
ORIGIN_GRID_ID1214  5.2387184  0.1295361    40.442  < 2e-16 ***
ORIGIN_GRID_ID1215  1.6141673  0.1368661    11.794  < 2e-16 ***
ORIGIN_GRID_ID1216  0.7144107  0.1369354     5.217 1.82e-07 ***
ORIGIN_GRID_ID1220  4.3011500  0.1295397    33.203  < 2e-16 ***
ORIGIN_GRID_ID1221  3.9931290  0.1295529    30.822  < 2e-16 ***
ORIGIN_GRID_ID1222  3.6564904  0.1299059    28.147  < 2e-16 ***
ORIGIN_GRID_ID1223  1.9482983  0.1308732    14.887  < 2e-16 ***
ORIGIN_GRID_ID1224  2.8243000  0.1300007    21.725  < 2e-16 ***
ORIGIN_GRID_ID1231 -1.1508887  0.2382878    -4.830 1.37e-06 ***
ORIGIN_GRID_ID1232  1.3464797  0.1677210     8.028 9.90e-16 ***
ORIGIN_GRID_ID1235  2.7434248  0.1302640    21.060  < 2e-16 ***
ORIGIN_GRID_ID1236  2.5323686  0.1303762    19.424  < 2e-16 ***
ORIGIN_GRID_ID1241  2.5233740  0.1299814    19.413  < 2e-16 ***
ORIGIN_GRID_ID1242  3.1951082  0.1296738    24.640  < 2e-16 ***
ORIGIN_GRID_ID1243  3.8075964  0.1295722    29.386  < 2e-16 ***
ORIGIN_GRID_ID1246  3.0024853  0.1298779    23.118  < 2e-16 ***
ORIGIN_GRID_ID1256  4.1822317  0.1296957    32.246  < 2e-16 ***
ORIGIN_GRID_ID1257  5.0842078  0.1295881    39.234  < 2e-16 ***
ORIGIN_GRID_ID1258  3.0119251  0.1303613    23.104  < 2e-16 ***
ORIGIN_GRID_ID1262  2.9644522  0.1297801    22.842  < 2e-16 ***
ORIGIN_GRID_ID1263  3.4025204  0.1296032    26.253  < 2e-16 ***
ORIGIN_GRID_ID1264  2.3863689  0.1302426    18.322  < 2e-16 ***
ORIGIN_GRID_ID1265  2.0682350  0.1307220    15.822  < 2e-16 ***
ORIGIN_GRID_ID1266  3.7113689  0.1297163    28.611  < 2e-16 ***
ORIGIN_GRID_ID1267  1.6049104  0.1336491    12.008  < 2e-16 ***
ORIGIN_GRID_ID1272 -0.8539361  0.1962445    -4.351 1.35e-05 ***
ORIGIN_GRID_ID1273  3.5100695  0.1301459    26.970  < 2e-16 ***
ORIGIN_GRID_ID1277  5.1494146  0.1295389    39.752  < 2e-16 ***
ORIGIN_GRID_ID1278  2.5330851  0.1303318    19.436  < 2e-16 ***
ORIGIN_GRID_ID1283  4.6794227  0.1295296    36.126  < 2e-16 ***
ORIGIN_GRID_ID1284  3.9456843  0.1295656    30.453  < 2e-16 ***
ORIGIN_GRID_ID1285  4.5788810  0.1295132    35.355  < 2e-16 ***
ORIGIN_GRID_ID1286  2.7655361  0.1300215    21.270  < 2e-16 ***
ORIGIN_GRID_ID1289  1.1320461  0.1404018     8.063 7.45e-16 ***
ORIGIN_GRID_ID1293  0.2130123  0.1533915     1.389 0.164929    
ORIGIN_GRID_ID1294  5.0087128  0.1296248    38.640  < 2e-16 ***
ORIGIN_GRID_ID1295  2.4363046  0.1314408    18.535  < 2e-16 ***
ORIGIN_GRID_ID1298  4.2044427  0.1296673    32.425  < 2e-16 ***
ORIGIN_GRID_ID1299  4.5573011  0.1296324    35.156  < 2e-16 ***
ORIGIN_GRID_ID1304  4.5798557  0.1295282    35.358  < 2e-16 ***
ORIGIN_GRID_ID1305  3.9401059  0.1295393    30.416  < 2e-16 ***
ORIGIN_GRID_ID1307  0.1574184  0.1400458     1.124 0.260992    
ORIGIN_GRID_ID1308  3.7696367  0.1296416    29.077  < 2e-16 ***
ORIGIN_GRID_ID1310 -1.0700018  0.2689230    -3.979 6.93e-05 ***
ORIGIN_GRID_ID1316  1.4780253  0.1348067    10.964  < 2e-16 ***
ORIGIN_GRID_ID1317  3.1951209  0.1300413    24.570  < 2e-16 ***
ORIGIN_GRID_ID1318  2.4219658  0.1306449    18.539  < 2e-16 ***
ORIGIN_GRID_ID1319  5.4601234  0.1295310    42.153  < 2e-16 ***
ORIGIN_GRID_ID1320  4.0132807  0.1297971    30.920  < 2e-16 ***
ORIGIN_GRID_ID1325  2.1833375  0.1301753    16.772  < 2e-16 ***
ORIGIN_GRID_ID1326  4.1481195  0.1295348    32.023  < 2e-16 ***
ORIGIN_GRID_ID1327  3.8840568  0.1295592    29.979  < 2e-16 ***
ORIGIN_GRID_ID1328  2.5018438  0.1299379    19.254  < 2e-16 ***
ORIGIN_GRID_ID1329  2.7977364  0.1301227    21.501  < 2e-16 ***
ORIGIN_GRID_ID1330  3.6862632  0.1297735    28.405  < 2e-16 ***
ORIGIN_GRID_ID1331 -1.3088559  0.3576148    -3.660 0.000252 ***
ORIGIN_GRID_ID1333  3.0878626  0.1301489    23.726  < 2e-16 ***
ORIGIN_GRID_ID1334  3.3347552  0.1300547    25.641  < 2e-16 ***
ORIGIN_GRID_ID1335  2.9381473  0.1307187    22.477  < 2e-16 ***
ORIGIN_GRID_ID1336  0.1097369  0.1897248     0.578 0.562994    
ORIGIN_GRID_ID1337  0.4715310  0.1420051     3.321 0.000898 ***
ORIGIN_GRID_ID1338 -0.9602672  0.1745393    -5.502 3.76e-08 ***
ORIGIN_GRID_ID1339  5.2773246  0.1295284    40.743  < 2e-16 ***
ORIGIN_GRID_ID1340  3.6591414  0.1298182    28.187  < 2e-16 ***
ORIGIN_GRID_ID1341  0.8171489  0.2584384     3.162 0.001568 ** 
ORIGIN_GRID_ID1346  3.7686687  0.1296453    29.069  < 2e-16 ***
ORIGIN_GRID_ID1347  4.7672157  0.1295147    36.808  < 2e-16 ***
ORIGIN_GRID_ID1348  3.1160780  0.1296628    24.032  < 2e-16 ***
ORIGIN_GRID_ID1349  2.9400884  0.1298133    22.649  < 2e-16 ***
ORIGIN_GRID_ID1350  3.2910188  0.1299993    25.316  < 2e-16 ***
ORIGIN_GRID_ID1353  3.0944108  0.1299080    23.820  < 2e-16 ***
ORIGIN_GRID_ID1354  2.8526247  0.1301978    21.910  < 2e-16 ***
ORIGIN_GRID_ID1355  3.6655316  0.1297833    28.243  < 2e-16 ***
ORIGIN_GRID_ID1357  2.6975976  0.1310957    20.577  < 2e-16 ***
ORIGIN_GRID_ID1358  4.0397520  0.1297073    31.145  < 2e-16 ***
ORIGIN_GRID_ID1359  4.3691684  0.1295862    33.716  < 2e-16 ***
ORIGIN_GRID_ID1360  4.4323891  0.1295920    34.203  < 2e-16 ***
ORIGIN_GRID_ID1361  5.5738569  0.1295390    43.028  < 2e-16 ***
ORIGIN_GRID_ID1362  1.7029139  0.1359711    12.524  < 2e-16 ***
ORIGIN_GRID_ID1368  2.6326636  0.1298138    20.280  < 2e-16 ***
ORIGIN_GRID_ID1369  2.3384940  0.1298760    18.006  < 2e-16 ***
ORIGIN_GRID_ID1370  3.5746929  0.1295826    27.586  < 2e-16 ***
ORIGIN_GRID_ID1371  2.9594154  0.1299408    22.775  < 2e-16 ***
ORIGIN_GRID_ID1372  2.2759997  0.1302051    17.480  < 2e-16 ***
ORIGIN_GRID_ID1373  0.6660036  0.1397862     4.764 1.89e-06 ***
ORIGIN_GRID_ID1374  2.5838275  0.1301028    19.860  < 2e-16 ***
ORIGIN_GRID_ID1375  4.1259653  0.1297301    31.804  < 2e-16 ***
ORIGIN_GRID_ID1376  3.4095478  0.1302077    26.185  < 2e-16 ***
ORIGIN_GRID_ID1379  1.7024572  0.1344622    12.661  < 2e-16 ***
ORIGIN_GRID_ID1380  5.7612070  0.1295036    44.487  < 2e-16 ***
ORIGIN_GRID_ID1381  5.3501757  0.1295267    41.306  < 2e-16 ***
ORIGIN_GRID_ID1382  4.7922404  0.1296313    36.968  < 2e-16 ***
ORIGIN_GRID_ID1383  2.4033431  0.1320129    18.205  < 2e-16 ***
ORIGIN_GRID_ID1388  3.1701366  0.1296757    24.447  < 2e-16 ***
ORIGIN_GRID_ID1389  1.9100799  0.1300828    14.684  < 2e-16 ***
ORIGIN_GRID_ID1390  3.0585966  0.1296904    23.584  < 2e-16 ***
ORIGIN_GRID_ID1391  3.1479690  0.1297412    24.263  < 2e-16 ***
ORIGIN_GRID_ID1392  2.6551236  0.1308440    20.292  < 2e-16 ***
ORIGIN_GRID_ID1393  1.8247939  0.1304929    13.984  < 2e-16 ***
ORIGIN_GRID_ID1394  3.2794565  0.1297232    25.280  < 2e-16 ***
ORIGIN_GRID_ID1395  3.3567611  0.1297213    25.877  < 2e-16 ***
ORIGIN_GRID_ID1396  4.4675609  0.1295713    34.480  < 2e-16 ***
ORIGIN_GRID_ID1397  4.5388706  0.1295807    35.027  < 2e-16 ***
ORIGIN_GRID_ID1398  3.4733087  0.1300101    26.716  < 2e-16 ***
ORIGIN_GRID_ID1400  4.5631209  0.1296520    35.195  < 2e-16 ***
ORIGIN_GRID_ID1401  4.9251494  0.1295307    38.023  < 2e-16 ***
ORIGIN_GRID_ID1402  4.9305937  0.1295508    38.059  < 2e-16 ***
ORIGIN_GRID_ID1404  5.0484371  0.1304597    38.697  < 2e-16 ***
ORIGIN_GRID_ID1410  2.6825678  0.1297500    20.675  < 2e-16 ***
ORIGIN_GRID_ID1411  2.7246550  0.1297719    20.996  < 2e-16 ***
ORIGIN_GRID_ID1412  2.9949964  0.1296625    23.098  < 2e-16 ***
ORIGIN_GRID_ID1413  3.8890080  0.1295784    30.013  < 2e-16 ***
ORIGIN_GRID_ID1414  3.2647638  0.1296465    25.182  < 2e-16 ***
ORIGIN_GRID_ID1415  2.8079366  0.1298578    21.623  < 2e-16 ***
ORIGIN_GRID_ID1416  3.4832529  0.1296730    26.862  < 2e-16 ***
ORIGIN_GRID_ID1417  3.6214532  0.1296551    27.931  < 2e-16 ***
ORIGIN_GRID_ID1418  4.4367506  0.1295622    34.244  < 2e-16 ***
ORIGIN_GRID_ID1419  3.9133035  0.1296567    30.182  < 2e-16 ***
ORIGIN_GRID_ID1422  4.9996195  0.1295749    38.585  < 2e-16 ***
ORIGIN_GRID_ID1423  5.9092714  0.1295183    45.625  < 2e-16 ***
ORIGIN_GRID_ID1430  3.4807613  0.1296337    26.851  < 2e-16 ***
ORIGIN_GRID_ID1431  3.4492075  0.1295835    26.618  < 2e-16 ***
ORIGIN_GRID_ID1432  3.5770956  0.1295726    27.607  < 2e-16 ***
ORIGIN_GRID_ID1433  2.3236388  0.1307408    17.773  < 2e-16 ***
ORIGIN_GRID_ID1434  3.8599000  0.1295927    29.785  < 2e-16 ***
ORIGIN_GRID_ID1435  4.2632052  0.1295297    32.913  < 2e-16 ***
ORIGIN_GRID_ID1436  1.1282468  0.1320635     8.543  < 2e-16 ***
ORIGIN_GRID_ID1437  4.4402379  0.1295445    34.276  < 2e-16 ***
ORIGIN_GRID_ID1438  4.9240335  0.1295072    38.021  < 2e-16 ***
ORIGIN_GRID_ID1439  5.5268439  0.1294976    42.679  < 2e-16 ***
ORIGIN_GRID_ID1440  1.9674791  0.1312536    14.990  < 2e-16 ***
ORIGIN_GRID_ID1442  4.8253247  0.1296542    37.217  < 2e-16 ***
ORIGIN_GRID_ID1443  5.8880692  0.1295243    45.459  < 2e-16 ***
ORIGIN_GRID_ID1444  4.9313403  0.1297071    38.019  < 2e-16 ***
ORIGIN_GRID_ID1452  2.5609262  0.1297873    19.732  < 2e-16 ***
ORIGIN_GRID_ID1453  2.6939585  0.1297606    20.761  < 2e-16 ***
ORIGIN_GRID_ID1454  1.7832651  0.1311976    13.592  < 2e-16 ***
ORIGIN_GRID_ID1455  3.2192244  0.1297833    24.805  < 2e-16 ***
ORIGIN_GRID_ID1456  3.6264812  0.1296216    27.977  < 2e-16 ***
ORIGIN_GRID_ID1457  4.4969778  0.1295312    34.717  < 2e-16 ***
ORIGIN_GRID_ID1458  4.8363313  0.1295159    37.342  < 2e-16 ***
ORIGIN_GRID_ID1459  4.2737656  0.1295517    32.989  < 2e-16 ***
ORIGIN_GRID_ID1460  3.4501677  0.1296515    26.611  < 2e-16 ***
ORIGIN_GRID_ID1461  2.1279011  0.1307081    16.280  < 2e-16 ***
ORIGIN_GRID_ID1464  6.2828549  0.1295152    48.511  < 2e-16 ***
ORIGIN_GRID_ID1465  5.7609060  0.1295607    44.465  < 2e-16 ***
ORIGIN_GRID_ID1472  1.1277502  0.1315699     8.571  < 2e-16 ***
ORIGIN_GRID_ID1473  2.0946783  0.1299884    16.114  < 2e-16 ***
ORIGIN_GRID_ID1474  3.2694545  0.1296020    25.227  < 2e-16 ***
ORIGIN_GRID_ID1475  4.2409690  0.1295416    32.738  < 2e-16 ***
ORIGIN_GRID_ID1476  3.5961102  0.1296413    27.739  < 2e-16 ***
ORIGIN_GRID_ID1477  5.1482590  0.1294902    39.758  < 2e-16 ***
ORIGIN_GRID_ID1478  3.4629216  0.1296421    26.711  < 2e-16 ***
ORIGIN_GRID_ID1479  3.6903956  0.1296048    28.474  < 2e-16 ***
ORIGIN_GRID_ID1480  5.5151586  0.1294887    42.592  < 2e-16 ***
ORIGIN_GRID_ID1481  2.8481431  0.1299016    21.925  < 2e-16 ***
ORIGIN_GRID_ID1482  3.0385662  0.1302605    23.327  < 2e-16 ***
ORIGIN_GRID_ID1485  5.7318316  0.1295646    44.239  < 2e-16 ***
ORIGIN_GRID_ID1494  2.3308264  0.1302551    17.894  < 2e-16 ***
ORIGIN_GRID_ID1495  2.5732051  0.1297757    19.828  < 2e-16 ***
ORIGIN_GRID_ID1496  3.7224213  0.1295577    28.732  < 2e-16 ***
ORIGIN_GRID_ID1497  4.0742946  0.1295750    31.444  < 2e-16 ***
ORIGIN_GRID_ID1498  4.4340060  0.1295289    34.232  < 2e-16 ***
ORIGIN_GRID_ID1499  4.6717991  0.1295137    36.072  < 2e-16 ***
ORIGIN_GRID_ID1500  4.5683363  0.1295819    35.254  < 2e-16 ***
ORIGIN_GRID_ID1501  4.8100205  0.1295153    37.139  < 2e-16 ***
ORIGIN_GRID_ID1502  4.2538416  0.1295555    32.834  < 2e-16 ***
ORIGIN_GRID_ID1506  0.2700397  0.1762201     1.532 0.125424    
ORIGIN_GRID_ID1515  1.5127157  0.1320548    11.455  < 2e-16 ***
ORIGIN_GRID_ID1516  2.9654101  0.1296990    22.864  < 2e-16 ***
ORIGIN_GRID_ID1517  3.4553345  0.1296646    26.648  < 2e-16 ***
ORIGIN_GRID_ID1518  3.3604584  0.1296969    25.910  < 2e-16 ***
ORIGIN_GRID_ID1519  4.7015797  0.1295609    36.289  < 2e-16 ***
ORIGIN_GRID_ID1520  3.4068287  0.1296613    26.275  < 2e-16 ***
ORIGIN_GRID_ID1521  2.7475525  0.1299356    21.145  < 2e-16 ***
ORIGIN_GRID_ID1522  5.0147790  0.1295079    38.722  < 2e-16 ***
ORIGIN_GRID_ID1523  3.5122644  0.1304822    26.918  < 2e-16 ***
ORIGIN_GRID_ID1524  3.6844218  0.1298572    28.373  < 2e-16 ***
ORIGIN_GRID_ID1527  3.6801928  0.1305458    28.191  < 2e-16 ***
ORIGIN_GRID_ID1535 -0.0256107  0.1641549    -0.156 0.876021    
ORIGIN_GRID_ID1536  0.8592776  0.1342134     6.402 1.53e-10 ***
ORIGIN_GRID_ID1537  1.5478822  0.1310707    11.810  < 2e-16 ***
ORIGIN_GRID_ID1538  3.1974093  0.1296393    24.664  < 2e-16 ***
ORIGIN_GRID_ID1539  3.7315464  0.1295721    28.799  < 2e-16 ***
ORIGIN_GRID_ID1540  4.3341844  0.1295350    33.460  < 2e-16 ***
ORIGIN_GRID_ID1541  5.5177438  0.1295791    42.582  < 2e-16 ***
ORIGIN_GRID_ID1542  2.4655048  0.1304644    18.898  < 2e-16 ***
ORIGIN_GRID_ID1543  3.2900499  0.1314547    25.028  < 2e-16 ***
ORIGIN_GRID_ID1544  4.2634068  0.1296366    32.887  < 2e-16 ***
ORIGIN_GRID_ID1547  1.4000760  0.1441635     9.712  < 2e-16 ***
ORIGIN_GRID_ID1556  1.1160262  0.1488428     7.498 6.48e-14 ***
ORIGIN_GRID_ID1557  0.8760692  0.1348029     6.499 8.09e-11 ***
ORIGIN_GRID_ID1558  2.1114407  0.1311164    16.104  < 2e-16 ***
ORIGIN_GRID_ID1559  3.8598916  0.1295590    29.793  < 2e-16 ***
ORIGIN_GRID_ID1560  4.7021645  0.1295119    36.307  < 2e-16 ***
ORIGIN_GRID_ID1561  4.5767081  0.1295433    35.330  < 2e-16 ***
ORIGIN_GRID_ID1562  1.6339094  0.1312362    12.450  < 2e-16 ***
ORIGIN_GRID_ID1563  3.4486859  0.1296818    26.593  < 2e-16 ***
ORIGIN_GRID_ID1564  2.6083143  0.1302234    20.030  < 2e-16 ***
ORIGIN_GRID_ID1565  2.6712789  0.1302705    20.506  < 2e-16 ***
ORIGIN_GRID_ID1566  2.4196187  0.1311226    18.453  < 2e-16 ***
ORIGIN_GRID_ID1567  0.3613545  0.1608199     2.247 0.024643 *  
ORIGIN_GRID_ID1568  1.3659685  0.1461712     9.345  < 2e-16 ***
ORIGIN_GRID_ID1578 -1.5812104  0.2899386    -5.454 4.94e-08 ***
ORIGIN_GRID_ID1580  2.3243561  0.1306566    17.790  < 2e-16 ***
ORIGIN_GRID_ID1581  1.1713046  0.1313084     8.920  < 2e-16 ***
ORIGIN_GRID_ID1582  4.3920737  0.1295193    33.911  < 2e-16 ***
ORIGIN_GRID_ID1583  2.6601078  0.1312457    20.268  < 2e-16 ***
ORIGIN_GRID_ID1584  2.9271840  0.1299209    22.531  < 2e-16 ***
ORIGIN_GRID_ID1585  3.5562990  0.1298369    27.391  < 2e-16 ***
ORIGIN_GRID_ID1586  2.5487396  0.1302031    19.575  < 2e-16 ***
ORIGIN_GRID_ID1589  0.3490170  0.1633174     2.137 0.032594 *  
ORIGIN_GRID_ID1590  1.0833179  0.1473770     7.351 1.97e-13 ***
ORIGIN_GRID_ID1600  4.4473910  0.1299091    34.235  < 2e-16 ***
ORIGIN_GRID_ID1601  2.9934276  0.1297058    23.079  < 2e-16 ***
ORIGIN_GRID_ID1602  3.6766873  0.1296144    28.366  < 2e-16 ***
ORIGIN_GRID_ID1603  4.5870862  0.1295230    35.415  < 2e-16 ***
ORIGIN_GRID_ID1604  3.0990561  0.1297230    23.890  < 2e-16 ***
ORIGIN_GRID_ID1605  4.5094011  0.1295310    34.813  < 2e-16 ***
ORIGIN_GRID_ID1606  3.9803870  0.1298410    30.656  < 2e-16 ***
ORIGIN_GRID_ID1607  3.3114324  0.1298260    25.507  < 2e-16 ***
ORIGIN_GRID_ID1608  5.3211164  0.1295391    41.077  < 2e-16 ***
ORIGIN_GRID_ID1609  5.2021136  0.1295883    40.143  < 2e-16 ***
ORIGIN_GRID_ID1610  1.7944261  0.1457221    12.314  < 2e-16 ***
ORIGIN_GRID_ID1622  3.0484921  0.1314523    23.191  < 2e-16 ***
ORIGIN_GRID_ID1623  4.3774780  0.1295249    33.796  < 2e-16 ***
ORIGIN_GRID_ID1624  3.1542714  0.1297384    24.313  < 2e-16 ***
ORIGIN_GRID_ID1625  4.5444694  0.1295452    35.080  < 2e-16 ***
ORIGIN_GRID_ID1626  5.2184399  0.1295012    40.296  < 2e-16 ***
ORIGIN_GRID_ID1627  3.6069280  0.1296708    27.816  < 2e-16 ***
ORIGIN_GRID_ID1628  5.3497701  0.1295041    41.310  < 2e-16 ***
ORIGIN_GRID_ID1629  4.3528540  0.1296429    33.576  < 2e-16 ***
ORIGIN_GRID_ID1630  4.4628045  0.1297035    34.408  < 2e-16 ***
ORIGIN_GRID_ID1631  0.8230139  0.1472923     5.588 2.30e-08 ***
ORIGIN_GRID_ID1642  1.8639168  0.1330401    14.010  < 2e-16 ***
ORIGIN_GRID_ID1643  4.3336129  0.1295359    33.455  < 2e-16 ***
ORIGIN_GRID_ID1644  2.1130156  0.1306068    16.178  < 2e-16 ***
ORIGIN_GRID_ID1645  3.5768772  0.1296136    27.596  < 2e-16 ***
ORIGIN_GRID_ID1646  3.4119502  0.1297959    26.287  < 2e-16 ***
ORIGIN_GRID_ID1647  3.7963164  0.1295980    29.293  < 2e-16 ***
ORIGIN_GRID_ID1648  4.4450360  0.1295512    34.311  < 2e-16 ***
ORIGIN_GRID_ID1649  5.2239149  0.1295114    40.336  < 2e-16 ***
ORIGIN_GRID_ID1650  5.3531423  0.1295714    41.314  < 2e-16 ***
ORIGIN_GRID_ID1664 -0.7669466  0.1962837    -3.907 9.33e-05 ***
ORIGIN_GRID_ID1665  4.5082728  0.1295209    34.807  < 2e-16 ***
ORIGIN_GRID_ID1666  3.1955625  0.1296706    24.644  < 2e-16 ***
ORIGIN_GRID_ID1667  4.1908237  0.1299159    32.258  < 2e-16 ***
ORIGIN_GRID_ID1668  4.3454805  0.1295470    33.544  < 2e-16 ***
ORIGIN_GRID_ID1670  5.2460200  0.1295043    40.508  < 2e-16 ***
ORIGIN_GRID_ID1671  5.9639460  0.1295668    46.030  < 2e-16 ***
ORIGIN_GRID_ID1672  5.6147129  0.1295969    43.324  < 2e-16 ***
ORIGIN_GRID_ID1684  3.4741618  0.1301808    26.687  < 2e-16 ***
ORIGIN_GRID_ID1685  4.0746079  0.1295741    31.446  < 2e-16 ***
ORIGIN_GRID_ID1686  3.9330895  0.1295777    30.353  < 2e-16 ***
ORIGIN_GRID_ID1687  3.5154650  0.1296895    27.107  < 2e-16 ***
ORIGIN_GRID_ID1688  3.0532081  0.1297673    23.528  < 2e-16 ***
ORIGIN_GRID_ID1689  2.6536870  0.1301593    20.388  < 2e-16 ***
ORIGIN_GRID_ID1690  4.1712981  0.1296322    32.178  < 2e-16 ***
ORIGIN_GRID_ID1691  4.9626838  0.1295359    38.311  < 2e-16 ***
ORIGIN_GRID_ID1692  4.5589933  0.1297324    35.142  < 2e-16 ***
ORIGIN_GRID_ID1706  4.0081407  0.1296277    30.920  < 2e-16 ***
ORIGIN_GRID_ID1707  3.9637852  0.1295615    30.594  < 2e-16 ***
ORIGIN_GRID_ID1708  4.4675242  0.1295254    34.492  < 2e-16 ***
ORIGIN_GRID_ID1709  3.6166428  0.1296352    27.899  < 2e-16 ***
ORIGIN_GRID_ID1710  4.7904753  0.1295294    36.984  < 2e-16 ***
ORIGIN_GRID_ID1711  4.5356287  0.1295667    35.006  < 2e-16 ***
ORIGIN_GRID_ID1712  5.2217263  0.1295048    40.321  < 2e-16 ***
ORIGIN_GRID_ID1713  2.8477872  0.1301703    21.877  < 2e-16 ***
ORIGIN_GRID_ID1714  5.5210310  0.1295493    42.617  < 2e-16 ***
ORIGIN_GRID_ID1727  4.2674021  0.1295737    32.934  < 2e-16 ***
ORIGIN_GRID_ID1728  4.0791378  0.1295581    31.485  < 2e-16 ***
ORIGIN_GRID_ID1729  3.5449555  0.1295996    27.353  < 2e-16 ***
ORIGIN_GRID_ID1730  1.5892433  0.1315346    12.082  < 2e-16 ***
ORIGIN_GRID_ID1731  4.3869675  0.1295665    33.859  < 2e-16 ***
ORIGIN_GRID_ID1732  4.9073625  0.1295147    37.890  < 2e-16 ***
ORIGIN_GRID_ID1733  4.7065179  0.1295402    36.332  < 2e-16 ***
ORIGIN_GRID_ID1734  5.1276524  0.1295342    39.585  < 2e-16 ***
ORIGIN_GRID_ID1735  6.8799905  0.1296343    53.072  < 2e-16 ***
ORIGIN_GRID_ID1748  2.9361434  0.1298859    22.606  < 2e-16 ***
ORIGIN_GRID_ID1749  3.9056168  0.1295685    30.143  < 2e-16 ***
ORIGIN_GRID_ID1750  3.0562456  0.1296990    23.564  < 2e-16 ***
ORIGIN_GRID_ID1751  2.4420610  0.1299549    18.792  < 2e-16 ***
ORIGIN_GRID_ID1753  4.9711435  0.1295192    38.382  < 2e-16 ***
ORIGIN_GRID_ID1754  5.3337544  0.1295023    41.187  < 2e-16 ***
ORIGIN_GRID_ID1755  4.8917895  0.1295362    37.764  < 2e-16 ***
ORIGIN_GRID_ID1756  4.8391742  0.1295775    37.346  < 2e-16 ***
ORIGIN_GRID_ID1757  2.8529716  0.1338373    21.317  < 2e-16 ***
ORIGIN_GRID_ID1769  3.7838460  0.1296145    29.193  < 2e-16 ***
ORIGIN_GRID_ID1770  3.3796181  0.1299016    26.017  < 2e-16 ***
ORIGIN_GRID_ID1771  2.5103268  0.1299741    19.314  < 2e-16 ***
ORIGIN_GRID_ID1772  1.2899587  0.1322767     9.752  < 2e-16 ***
ORIGIN_GRID_ID1774  4.6851876  0.1295339    36.170  < 2e-16 ***
ORIGIN_GRID_ID1775  4.3544664  0.1295849    33.603  < 2e-16 ***
ORIGIN_GRID_ID1776  5.5403866  0.1295063    42.781  < 2e-16 ***
ORIGIN_GRID_ID1777  5.6145983  0.1295223    43.349  < 2e-16 ***
ORIGIN_GRID_ID1778  5.4232319  0.1300764    41.693  < 2e-16 ***
ORIGIN_GRID_ID1790  4.4477112  0.1295638    34.328  < 2e-16 ***
ORIGIN_GRID_ID1791  3.7901891  0.1296403    29.236  < 2e-16 ***
ORIGIN_GRID_ID1792  3.7807792  0.1296572    29.160  < 2e-16 ***
ORIGIN_GRID_ID1793  1.6174918  0.1304368    12.401  < 2e-16 ***
ORIGIN_GRID_ID1794  1.5863784  0.1326581    11.958  < 2e-16 ***
ORIGIN_GRID_ID1795  1.1702834  0.1339635     8.736  < 2e-16 ***
ORIGIN_GRID_ID1796  5.2011851  0.1295350    40.153  < 2e-16 ***
ORIGIN_GRID_ID1797  5.2007105  0.1295211    40.153  < 2e-16 ***
ORIGIN_GRID_ID1798  5.2566245  0.1295215    40.585  < 2e-16 ***
ORIGIN_GRID_ID1799  4.5086765  0.1296983    34.763  < 2e-16 ***
ORIGIN_GRID_ID1800  3.8509753  0.1324888    29.066  < 2e-16 ***
ORIGIN_GRID_ID1811  3.5362925  0.1296982    27.266  < 2e-16 ***
ORIGIN_GRID_ID1812  4.6886953  0.1295128    36.203  < 2e-16 ***
ORIGIN_GRID_ID1813  4.4860516  0.1295226    34.635  < 2e-16 ***
ORIGIN_GRID_ID1817  5.1020246  0.1295744    39.375  < 2e-16 ***
ORIGIN_GRID_ID1818  5.0506360  0.1295420    38.988  < 2e-16 ***
ORIGIN_GRID_ID1819  5.5558645  0.1295159    42.897  < 2e-16 ***
ORIGIN_GRID_ID1820  2.7786262  0.1346301    20.639  < 2e-16 ***
ORIGIN_GRID_ID1832  4.2234358  0.1295877    32.591  < 2e-16 ***
ORIGIN_GRID_ID1833  3.7691957  0.1296123    29.081  < 2e-16 ***
ORIGIN_GRID_ID1834  4.1157896  0.1295453    31.771  < 2e-16 ***
ORIGIN_GRID_ID1835  3.4028058  0.1296932    26.237  < 2e-16 ***
ORIGIN_GRID_ID1837  0.6487398  0.1440852     4.502 6.72e-06 ***
ORIGIN_GRID_ID1839  4.5123790  0.1296771    34.797  < 2e-16 ***
ORIGIN_GRID_ID1840  6.3155314  0.1294905    48.772  < 2e-16 ***
ORIGIN_GRID_ID1841  1.8222908  0.1374095    13.262  < 2e-16 ***
ORIGIN_GRID_ID1842  6.2900132  0.1299797    48.392  < 2e-16 ***
ORIGIN_GRID_ID1853  4.1833084  0.1295624    32.288  < 2e-16 ***
ORIGIN_GRID_ID1854  4.3782363  0.1295526    33.795  < 2e-16 ***
ORIGIN_GRID_ID1855  4.6865056  0.1295311    36.181  < 2e-16 ***
ORIGIN_GRID_ID1858  2.4701416  0.1322826    18.673  < 2e-16 ***
ORIGIN_GRID_ID1860  5.8422113  0.1297687    45.020  < 2e-16 ***
ORIGIN_GRID_ID1861  5.3003289  0.1295478    40.914  < 2e-16 ***
ORIGIN_GRID_ID1874  4.3349294  0.1296206    33.443  < 2e-16 ***
ORIGIN_GRID_ID1875  2.6918340  0.1301927    20.676  < 2e-16 ***
ORIGIN_GRID_ID1876  4.7533297  0.1299394    36.581  < 2e-16 ***
ORIGIN_GRID_ID1877  4.4058244  0.1295543    34.008  < 2e-16 ***
ORIGIN_GRID_ID1880  0.8414193  0.1385237     6.074 1.25e-09 ***
ORIGIN_GRID_ID1882  5.1464119  0.1295600    39.722  < 2e-16 ***
ORIGIN_GRID_ID1883  5.6665870  0.1297963    43.658  < 2e-16 ***
ORIGIN_GRID_ID1895  4.4713043  0.1295540    34.513  < 2e-16 ***
ORIGIN_GRID_ID1896  2.8490971  0.1298536    21.941  < 2e-16 ***
ORIGIN_GRID_ID1897  3.4797567  0.1298036    26.808  < 2e-16 ***
ORIGIN_GRID_ID1898 -0.9007228  0.1987324    -4.532 5.83e-06 ***
ORIGIN_GRID_ID1901  0.7167528  0.1483662     4.831 1.36e-06 ***
ORIGIN_GRID_ID1903  5.0671462  0.1297827    39.043  < 2e-16 ***
ORIGIN_GRID_ID1917  2.9908502  0.1298537    23.032  < 2e-16 ***
ORIGIN_GRID_ID1918  4.5064227  0.1296026    34.771  < 2e-16 ***
ORIGIN_GRID_ID1919  4.3742247  0.1295716    33.759  < 2e-16 ***
ORIGIN_GRID_ID1922  2.2147164  0.1325120    16.713  < 2e-16 ***
ORIGIN_GRID_ID1924  4.8773986  0.1298234    37.569  < 2e-16 ***
ORIGIN_GRID_ID1937  3.8206609  0.1296646    29.466  < 2e-16 ***
ORIGIN_GRID_ID1938  4.5146459  0.1295401    34.851  < 2e-16 ***
ORIGIN_GRID_ID1939  5.1001144  0.1295282    39.375  < 2e-16 ***
ORIGIN_GRID_ID1942  1.0324386  0.1374806     7.510 5.93e-14 ***
ORIGIN_GRID_ID1959  3.4203092  0.1297809    26.354  < 2e-16 ***
ORIGIN_GRID_ID1960  5.3955995  0.1294925    41.667  < 2e-16 ***
ORIGIN_GRID_ID1961  3.8297833  0.1296616    29.537  < 2e-16 ***
ORIGIN_GRID_ID1962  4.8745811  0.1295354    37.631  < 2e-16 ***
ORIGIN_GRID_ID1964  0.1864415  0.1555351     1.199 0.230641    
ORIGIN_GRID_ID1979  3.7181561  0.1297317    28.660  < 2e-16 ***
ORIGIN_GRID_ID1980  2.0364481  0.1303160    15.627  < 2e-16 ***
ORIGIN_GRID_ID1981  4.5057261  0.1295370    34.783  < 2e-16 ***
ORIGIN_GRID_ID1982  3.5177346  0.1299868    27.062  < 2e-16 ***
ORIGIN_GRID_ID1983  4.7814982  0.1295387    36.912  < 2e-16 ***
ORIGIN_GRID_ID1984  3.4782341  0.1297132    26.815  < 2e-16 ***
ORIGIN_GRID_ID1985  4.2742125  0.1296214    32.975  < 2e-16 ***
ORIGIN_GRID_ID2001  4.0247064  0.1296068    31.053  < 2e-16 ***
ORIGIN_GRID_ID2002  4.5939606  0.1295193    35.469  < 2e-16 ***
ORIGIN_GRID_ID2003  4.2481805  0.1295660    32.788  < 2e-16 ***
ORIGIN_GRID_ID2004  4.8449892  0.1295348    37.403  < 2e-16 ***
ORIGIN_GRID_ID2005  4.7527914  0.1295299    36.693  < 2e-16 ***
ORIGIN_GRID_ID2006  3.2864724  0.1298299    25.314  < 2e-16 ***
ORIGIN_GRID_ID2007  2.7439114  0.1305454    21.019  < 2e-16 ***
ORIGIN_GRID_ID2022  4.3784896  0.1296101    33.782  < 2e-16 ***
ORIGIN_GRID_ID2023  4.8561397  0.1295160    37.495  < 2e-16 ***
ORIGIN_GRID_ID2024  4.1542669  0.1295560    32.065  < 2e-16 ***
ORIGIN_GRID_ID2025  4.2169793  0.1295486    32.551  < 2e-16 ***
ORIGIN_GRID_ID2026  2.9201910  0.1300222    22.459  < 2e-16 ***
ORIGIN_GRID_ID2027  5.1606337  0.1295248    39.843  < 2e-16 ***
ORIGIN_GRID_ID2043  3.7377516  0.1297095    28.816  < 2e-16 ***
ORIGIN_GRID_ID2044  4.4636274  0.1295342    34.459  < 2e-16 ***
ORIGIN_GRID_ID2045 -0.0212320  0.1514585    -0.140 0.888515    
ORIGIN_GRID_ID2046  4.3997735  0.1295238    33.969  < 2e-16 ***
ORIGIN_GRID_ID2047  4.2323301  0.1295729    32.664  < 2e-16 ***
ORIGIN_GRID_ID2048  4.4782133  0.1295482    34.568  < 2e-16 ***
ORIGIN_GRID_ID2049  3.5591754  0.1302141    27.333  < 2e-16 ***
ORIGIN_GRID_ID2064  4.4331496  0.1295630    34.216  < 2e-16 ***
ORIGIN_GRID_ID2065  2.8770447  0.1297752    22.169  < 2e-16 ***
ORIGIN_GRID_ID2066  2.2398769  0.1319895    16.970  < 2e-16 ***
ORIGIN_GRID_ID2067  5.6565188  0.1294887    43.683  < 2e-16 ***
ORIGIN_GRID_ID2068  4.0353594  0.1296607    31.122  < 2e-16 ***
ORIGIN_GRID_ID2069  4.3594690  0.1295855    33.642  < 2e-16 ***
ORIGIN_GRID_ID2085  3.3052739  0.1298518    25.454  < 2e-16 ***
ORIGIN_GRID_ID2086  4.7312367  0.1295289    36.527  < 2e-16 ***
ORIGIN_GRID_ID2087  3.3434085  0.1296897    25.780  < 2e-16 ***
ORIGIN_GRID_ID2088  4.0681396  0.1295497    31.402  < 2e-16 ***
ORIGIN_GRID_ID2089  3.8465707  0.1296358    29.672  < 2e-16 ***
ORIGIN_GRID_ID2090  5.3530284  0.1295080    41.334  < 2e-16 ***
ORIGIN_GRID_ID2091  0.6272784  0.1491060     4.207 2.59e-05 ***
ORIGIN_GRID_ID2105  1.3762062  0.1729928     7.955 1.79e-15 ***
ORIGIN_GRID_ID2106  1.6416363  0.1310556    12.526  < 2e-16 ***
ORIGIN_GRID_ID2107  2.7480620  0.1298307    21.166  < 2e-16 ***
ORIGIN_GRID_ID2108  4.0263186  0.1295913    31.069  < 2e-16 ***
ORIGIN_GRID_ID2109  4.1368436  0.1295454    31.934  < 2e-16 ***
ORIGIN_GRID_ID2110  3.5824107  0.1296842    27.624  < 2e-16 ***
ORIGIN_GRID_ID2111  0.6700390  0.1387166     4.830 1.36e-06 ***
ORIGIN_GRID_ID2128  2.4359535  0.1303538    18.687  < 2e-16 ***
ORIGIN_GRID_ID2129  1.8833465  0.1304877    14.433  < 2e-16 ***
ORIGIN_GRID_ID2130  4.5947032  0.1295218    35.474  < 2e-16 ***
ORIGIN_GRID_ID2131  4.9282000  0.1295443    38.043  < 2e-16 ***
ORIGIN_GRID_ID2132  3.8554910  0.1296144    29.746  < 2e-16 ***
ORIGIN_GRID_ID2148  3.3581574  0.1300295    25.826  < 2e-16 ***
ORIGIN_GRID_ID2149  1.9142023  0.1305527    14.662  < 2e-16 ***
ORIGIN_GRID_ID2150  4.4704212  0.1295493    34.507  < 2e-16 ***
ORIGIN_GRID_ID2151  4.9488778  0.1295102    38.212  < 2e-16 ***
ORIGIN_GRID_ID2152  5.1196802  0.1295184    39.529  < 2e-16 ***
ORIGIN_GRID_ID2153  4.4747507  0.1295865    34.531  < 2e-16 ***
ORIGIN_GRID_ID2171  3.4566020  0.1296859    26.654  < 2e-16 ***
ORIGIN_GRID_ID2172  3.5849907  0.1297190    27.637  < 2e-16 ***
ORIGIN_GRID_ID2173  4.1226858  0.1295682    31.819  < 2e-16 ***
ORIGIN_GRID_ID2174  4.4003538  0.1295764    33.960  < 2e-16 ***
ORIGIN_GRID_ID2191  3.1016828  0.1299305    23.872  < 2e-16 ***
ORIGIN_GRID_ID2192  2.8466244  0.1299961    21.898  < 2e-16 ***
ORIGIN_GRID_ID2193  3.7757363  0.1296222    29.129  < 2e-16 ***
ORIGIN_GRID_ID2194  4.2211959  0.1295703    32.578  < 2e-16 ***
ORIGIN_GRID_ID2195  3.5912065  0.1313733    27.336  < 2e-16 ***
ORIGIN_GRID_ID2212  0.3512218  0.1659238     2.117 0.034280 *  
ORIGIN_GRID_ID2213  0.7193927  0.1369992     5.251 1.51e-07 ***
ORIGIN_GRID_ID2214  1.2875162  0.1325143     9.716  < 2e-16 ***
ORIGIN_GRID_ID2215  3.8536052  0.1296645    29.720  < 2e-16 ***
ORIGIN_GRID_ID2216  2.8738646  0.1299665    22.112  < 2e-16 ***
ORIGIN_GRID_ID2233  0.9638811  0.1386279     6.953 3.58e-12 ***
ORIGIN_GRID_ID2234  2.6929695  0.1311608    20.532  < 2e-16 ***
ORIGIN_GRID_ID2235  2.6459011  0.1302387    20.316  < 2e-16 ***
ORIGIN_GRID_ID2236  2.6638729  0.1301336    20.470  < 2e-16 ***
ORIGIN_GRID_ID2237  0.3779135  0.1434848     2.634 0.008443 ** 
ORIGIN_GRID_ID2256  0.3960913  0.1369530     2.892 0.003826 ** 
ORIGIN_GRID_ID2257  2.4052035  0.1310821    18.349  < 2e-16 ***
ORIGIN_GRID_ID2258  1.9344473  0.1305465    14.818  < 2e-16 ***
ORIGIN_GRID_ID2259  1.4119817  0.1354761    10.422  < 2e-16 ***
ORIGIN_GRID_ID2277  2.5901320  0.1350260    19.182  < 2e-16 ***
ORIGIN_GRID_ID2278  2.9789131  0.1305063    22.826  < 2e-16 ***
ORIGIN_GRID_ID2279  1.5489447  0.1311234    11.813  < 2e-16 ***
ORIGIN_GRID_ID2280 -0.6829078  0.1861325    -3.669 0.000244 ***
ORIGIN_GRID_ID2297  4.4047659  0.1298340    33.926  < 2e-16 ***
ORIGIN_GRID_ID2300  0.2740099  0.1471373     1.862 0.062565 .  
ORIGIN_GRID_ID2301  1.8788056  0.1310340    14.338  < 2e-16 ***
ORIGIN_GRID_ID2318  2.4764658  0.1309815    18.907  < 2e-16 ***
ORIGIN_GRID_ID2319  3.0715016  0.1299807    23.630  < 2e-16 ***
ORIGIN_GRID_ID2322  2.9809427  0.1301247    22.908  < 2e-16 ***
ORIGIN_GRID_ID2337  4.0314998  0.1307171    30.841  < 2e-16 ***
ORIGIN_GRID_ID2341  3.4439324  0.1299081    26.511  < 2e-16 ***
ORIGIN_GRID_ID2343  2.2924161  0.1303175    17.591  < 2e-16 ***
ORIGIN_GRID_ID2361  3.1653603  0.1301144    24.328  < 2e-16 ***
ORIGIN_GRID_ID2364 -0.9598717  0.1610771    -5.959 2.54e-09 ***
ORIGIN_GRID_ID2379  3.4030193  0.1311183    25.954  < 2e-16 ***
ORIGIN_GRID_ID2384  2.0318912  0.1306699    15.550  < 2e-16 ***
ORIGIN_GRID_ID2405  1.6597664  0.1308169    12.688  < 2e-16 ***
ORIGIN_GRID_ID2406  0.4161095  0.1355219     3.070 0.002138 ** 
ORIGIN_GRID_ID2426  1.1372938  0.1337444     8.503  < 2e-16 ***
ORIGIN_GRID_ID2427  2.9696569  0.1300218    22.840  < 2e-16 ***
ORIGIN_GRID_ID2505  3.2509457  0.1375646    23.632  < 2e-16 ***
DESTIN_GRID_ID44    1.4610699  0.0599516    24.371  < 2e-16 ***
DESTIN_GRID_ID46    0.5268457  0.0595126     8.853  < 2e-16 ***
DESTIN_GRID_ID66   -0.3356421  0.0737223    -4.553 5.29e-06 ***
DESTIN_GRID_ID67    0.4615278  0.0576908     8.000 1.24e-15 ***
DESTIN_GRID_ID68    0.1698465  0.0596451     2.848 0.004405 ** 
DESTIN_GRID_ID86    0.5425684  0.0661282     8.205 2.31e-16 ***
DESTIN_GRID_ID87   -2.8429225  0.1051627   -27.034  < 2e-16 ***
DESTIN_GRID_ID88   -0.0387740  0.0586941    -0.661 0.508862    
DESTIN_GRID_ID89   -0.5752329  0.0601924    -9.557  < 2e-16 ***
DESTIN_GRID_ID90   -3.6914168  0.7095101    -5.203 1.96e-07 ***
DESTIN_GRID_ID109  -0.3567290  0.0610855    -5.840 5.23e-09 ***
DESTIN_GRID_ID110  -3.3114581  0.1302724   -25.419  < 2e-16 ***
DESTIN_GRID_ID111   1.1089680  0.0570279    19.446  < 2e-16 ***
DESTIN_GRID_ID112  -2.3681041  0.0649370   -36.468  < 2e-16 ***
DESTIN_GRID_ID128   1.1984646  0.0610733    19.623  < 2e-16 ***
DESTIN_GRID_ID129  -4.2971646  0.1496889   -28.707  < 2e-16 ***
DESTIN_GRID_ID130  -0.5709847  0.0605596    -9.428  < 2e-16 ***
DESTIN_GRID_ID131  -1.2930114  0.0602786   -21.451  < 2e-16 ***
DESTIN_GRID_ID132  -0.7767828  0.0576409   -13.476  < 2e-16 ***
DESTIN_GRID_ID133  -0.6741147  0.0570096   -11.825  < 2e-16 ***
DESTIN_GRID_ID134  -0.5411679  0.0568437    -9.520  < 2e-16 ***
DESTIN_GRID_ID150  -0.1516506  0.0654708    -2.316 0.020541 *  
DESTIN_GRID_ID151  -0.4658215  0.0603680    -7.716 1.20e-14 ***
DESTIN_GRID_ID152   0.4810085  0.0578593     8.313  < 2e-16 ***
DESTIN_GRID_ID153   0.0278521  0.0575516     0.484 0.628422    
DESTIN_GRID_ID154  -2.1271742  0.0625232   -34.022  < 2e-16 ***
DESTIN_GRID_ID155  -1.7376108  0.0590421   -29.430  < 2e-16 ***
DESTIN_GRID_ID156  -1.6110436  0.0601239   -26.795  < 2e-16 ***
DESTIN_GRID_ID172  -1.5324519  0.0719054   -21.312  < 2e-16 ***
DESTIN_GRID_ID174  -1.0441369  0.0579117   -18.030  < 2e-16 ***
DESTIN_GRID_ID175  -0.6305106  0.0566495   -11.130  < 2e-16 ***
DESTIN_GRID_ID176  -1.9811328  0.0631762   -31.359  < 2e-16 ***
DESTIN_GRID_ID195  -2.3425966  0.0638239   -36.704  < 2e-16 ***
DESTIN_GRID_ID196  -0.8985668  0.0566385   -15.865  < 2e-16 ***
DESTIN_GRID_ID197  -4.1074879  0.0951995   -43.146  < 2e-16 ***
DESTIN_GRID_ID215  -0.3849170  0.0633992    -6.071 1.27e-09 ***
DESTIN_GRID_ID216  -0.5207832  0.0579500    -8.987  < 2e-16 ***
DESTIN_GRID_ID217  -0.1915740  0.0565092    -3.390 0.000699 ***
DESTIN_GRID_ID237  -2.4959554  0.0637312   -39.164  < 2e-16 ***
DESTIN_GRID_ID238  -1.5021061  0.0578239   -25.977  < 2e-16 ***
DESTIN_GRID_ID239  -1.7822038  0.0639682   -27.861  < 2e-16 ***
DESTIN_GRID_ID257   0.4623821  0.0582248     7.941 2.00e-15 ***
DESTIN_GRID_ID258  -1.4136448  0.0590904   -23.923  < 2e-16 ***
DESTIN_GRID_ID259  -0.3061241  0.0570391    -5.367 8.01e-08 ***
DESTIN_GRID_ID278   0.8349381  0.0577004    14.470  < 2e-16 ***
DESTIN_GRID_ID279  -0.8919886  0.0574079   -15.538  < 2e-16 ***
DESTIN_GRID_ID280  -0.6317467  0.0572375   -11.037  < 2e-16 ***
DESTIN_GRID_ID298  -3.8458707  0.1609022   -23.902  < 2e-16 ***
DESTIN_GRID_ID299  -0.6039604  0.0581484   -10.387  < 2e-16 ***
DESTIN_GRID_ID300  -1.1767813  0.0584309   -20.140  < 2e-16 ***
DESTIN_GRID_ID320   0.7201096  0.0576187    12.498  < 2e-16 ***
DESTIN_GRID_ID321  -1.5464447  0.0608598   -25.410  < 2e-16 ***
DESTIN_GRID_ID322  -0.2943587  0.0571107    -5.154 2.55e-07 ***
DESTIN_GRID_ID340   1.4336843  0.0569572    25.171  < 2e-16 ***
DESTIN_GRID_ID341  -0.0627381  0.0571590    -1.098 0.272376    
DESTIN_GRID_ID342  -0.4193694  0.0568467    -7.377 1.62e-13 ***
DESTIN_GRID_ID363  -0.4359403  0.0574612    -7.587 3.28e-14 ***
DESTIN_GRID_ID364  -0.4353339  0.0564071    -7.718 1.18e-14 ***
DESTIN_GRID_ID383   0.5820039  0.0566172    10.280  < 2e-16 ***
DESTIN_GRID_ID384  -0.6234082  0.0564973   -11.034  < 2e-16 ***
DESTIN_GRID_ID385  -1.6072532  0.0579213   -27.749  < 2e-16 ***
DESTIN_GRID_ID404   0.7134065  0.0572976    12.451  < 2e-16 ***
DESTIN_GRID_ID405  -0.0229839  0.0568779    -0.404 0.686145    
DESTIN_GRID_ID406   0.3153790  0.0561297     5.619 1.92e-08 ***
DESTIN_GRID_ID407  -0.2016686  0.0567608    -3.553 0.000381 ***
DESTIN_GRID_ID408   0.9741113  0.0561943    17.335  < 2e-16 ***
DESTIN_GRID_ID425  -1.6595213  0.0611864   -27.122  < 2e-16 ***
DESTIN_GRID_ID426  -1.0812839  0.0568129   -19.032  < 2e-16 ***
DESTIN_GRID_ID427  -3.7453586  0.0618388   -60.566  < 2e-16 ***
DESTIN_GRID_ID428  -1.1675551  0.0571924   -20.415  < 2e-16 ***
DESTIN_GRID_ID429  -1.3551882  0.0608753   -22.262  < 2e-16 ***
DESTIN_GRID_ID446  -0.4429953  0.0605244    -7.319 2.49e-13 ***
DESTIN_GRID_ID447  -1.2773973  0.0584571   -21.852  < 2e-16 ***
DESTIN_GRID_ID448  -1.5924450  0.0570796   -27.899  < 2e-16 ***
DESTIN_GRID_ID449  -0.9527828  0.0563947   -16.895  < 2e-16 ***
DESTIN_GRID_ID450  -1.5568039  0.0573869   -27.128  < 2e-16 ***
DESTIN_GRID_ID468  -0.9247058  0.0569329   -16.242  < 2e-16 ***
DESTIN_GRID_ID469  -1.4706087  0.0565725   -25.995  < 2e-16 ***
DESTIN_GRID_ID470  -1.2795145  0.0564335   -22.673  < 2e-16 ***
DESTIN_GRID_ID471  -1.1073576  0.0585916   -18.900  < 2e-16 ***
DESTIN_GRID_ID488  -0.5184509  0.0602408    -8.606  < 2e-16 ***
DESTIN_GRID_ID489  -2.6036607  0.0737457   -35.306  < 2e-16 ***
DESTIN_GRID_ID490  -0.6908185  0.0565754   -12.211  < 2e-16 ***
DESTIN_GRID_ID491  -3.1780955  0.0584079   -54.412  < 2e-16 ***
DESTIN_GRID_ID493  -3.5119478  0.0743175   -47.256  < 2e-16 ***
DESTIN_GRID_ID494  -1.7166221  0.0605733   -28.340  < 2e-16 ***
DESTIN_GRID_ID509  -0.1604207  0.0580366    -2.764 0.005708 ** 
DESTIN_GRID_ID510  -0.4352831  0.0568441    -7.657 1.90e-14 ***
DESTIN_GRID_ID511  -1.2167976  0.0563565   -21.591  < 2e-16 ***
DESTIN_GRID_ID512  -1.5345981  0.0563860   -27.216  < 2e-16 ***
DESTIN_GRID_ID513  -0.3745261  0.0565800    -6.619 3.61e-11 ***
DESTIN_GRID_ID514  -0.6766611  0.0572336   -11.823  < 2e-16 ***
DESTIN_GRID_ID515  -2.1744748  0.0645579   -33.683  < 2e-16 ***
DESTIN_GRID_ID530  -0.7794013  0.0630744   -12.357  < 2e-16 ***
DESTIN_GRID_ID531   1.4297443  0.0562899    25.400  < 2e-16 ***
DESTIN_GRID_ID532  -0.9750363  0.0566323   -17.217  < 2e-16 ***
DESTIN_GRID_ID533   0.1811368  0.0560245     3.233 0.001224 ** 
DESTIN_GRID_ID534  -1.3081861  0.0563872   -23.200  < 2e-16 ***
DESTIN_GRID_ID536  -1.5897228  0.0589097   -26.986  < 2e-16 ***
DESTIN_GRID_ID537  -2.3757446  0.0658895   -36.057  < 2e-16 ***
DESTIN_GRID_ID538  -2.7100740  0.0714091   -37.951  < 2e-16 ***
DESTIN_GRID_ID539  -5.0321516  0.2730833   -18.427  < 2e-16 ***
DESTIN_GRID_ID551  -0.1724314  0.0587456    -2.935 0.003333 ** 
DESTIN_GRID_ID552   0.2275552  0.0569909     3.993 6.53e-05 ***
DESTIN_GRID_ID553  -1.7428541  0.0566214   -30.781  < 2e-16 ***
DESTIN_GRID_ID554  -1.8164249  0.0564052   -32.203  < 2e-16 ***
DESTIN_GRID_ID555  -0.5618273  0.0564861    -9.946  < 2e-16 ***
DESTIN_GRID_ID559  -2.8255867  0.0775973   -36.413  < 2e-16 ***
DESTIN_GRID_ID560  -0.4882698  0.0585018    -8.346  < 2e-16 ***
DESTIN_GRID_ID561  -2.8699939  0.0877732   -32.698  < 2e-16 ***
DESTIN_GRID_ID572  -1.0880331  0.0657350   -16.552  < 2e-16 ***
DESTIN_GRID_ID573   0.5929914  0.0569392    10.414  < 2e-16 ***
DESTIN_GRID_ID574  -1.2334047  0.0581389   -21.215  < 2e-16 ***
DESTIN_GRID_ID575   1.2163545  0.0559811    21.728  < 2e-16 ***
DESTIN_GRID_ID576  -1.4208907  0.0563273   -25.226  < 2e-16 ***
DESTIN_GRID_ID578  -4.7814343  0.1209528   -39.531  < 2e-16 ***
DESTIN_GRID_ID582  -3.0782528  0.0844724   -36.441  < 2e-16 ***
DESTIN_GRID_ID583  -4.9551914  0.3820981   -12.968  < 2e-16 ***
DESTIN_GRID_ID584  -1.5041341  0.0666759   -22.559  < 2e-16 ***
DESTIN_GRID_ID593  -1.7191918  0.0615438   -27.934  < 2e-16 ***
DESTIN_GRID_ID594  -0.4113533  0.0577054    -7.129 1.01e-12 ***
DESTIN_GRID_ID595  -0.6262470  0.0562647   -11.130  < 2e-16 ***
DESTIN_GRID_ID596  -1.2127737  0.0561870   -21.585  < 2e-16 ***
DESTIN_GRID_ID597  -1.6851133  0.0581003   -29.004  < 2e-16 ***
DESTIN_GRID_ID603  -2.6302551  0.0769900   -34.164  < 2e-16 ***
DESTIN_GRID_ID604  -2.1680858  0.0755914   -28.682  < 2e-16 ***
DESTIN_GRID_ID615  -1.3246859  0.0578840   -22.885  < 2e-16 ***
DESTIN_GRID_ID616  -0.8465800  0.0567004   -14.931  < 2e-16 ***
DESTIN_GRID_ID617  -1.9388052  0.0567127   -34.186  < 2e-16 ***
DESTIN_GRID_ID618  -1.4344561  0.0563682   -25.448  < 2e-16 ***
DESTIN_GRID_ID620  -1.2854927  0.0571318   -22.500  < 2e-16 ***
DESTIN_GRID_ID637  -1.3516205  0.0570347   -23.698  < 2e-16 ***
DESTIN_GRID_ID638  -1.4138849  0.0563064   -25.111  < 2e-16 ***
DESTIN_GRID_ID657   0.0107152  0.0564147     0.190 0.849360    
DESTIN_GRID_ID658  -0.7058668  0.0563114   -12.535  < 2e-16 ***
DESTIN_GRID_ID659  -1.0164890  0.0562735   -18.063  < 2e-16 ***
DESTIN_GRID_ID660  -0.6140699  0.0561341   -10.939  < 2e-16 ***
DESTIN_GRID_ID662  -1.1791358  0.0573447   -20.562  < 2e-16 ***
DESTIN_GRID_ID677   0.0748666  0.0567715     1.319 0.187258    
DESTIN_GRID_ID678  -1.8428042  0.0577264   -31.923  < 2e-16 ***
DESTIN_GRID_ID679  -0.4158101  0.0561992    -7.399 1.37e-13 ***
DESTIN_GRID_ID680   1.0278618  0.0560190    18.348  < 2e-16 ***
DESTIN_GRID_ID681  -2.8599678  0.0596472   -47.948  < 2e-16 ***
DESTIN_GRID_ID699  -0.5090672  0.0567112    -8.976  < 2e-16 ***
DESTIN_GRID_ID700  -1.0519602  0.0564480   -18.636  < 2e-16 ***
DESTIN_GRID_ID701  -3.5339314  0.0605694   -58.345  < 2e-16 ***
DESTIN_GRID_ID702  -0.8271455  0.0561888   -14.721  < 2e-16 ***
DESTIN_GRID_ID704  -1.7034718  0.0571033   -29.831  < 2e-16 ***
DESTIN_GRID_ID722  -1.5862609  0.0566965   -27.978  < 2e-16 ***
DESTIN_GRID_ID725  -3.8728384  0.0624696   -61.996  < 2e-16 ***
DESTIN_GRID_ID741   0.0392697  0.0564653     0.695 0.486763    
DESTIN_GRID_ID743  -3.7050615  0.0612027   -60.538  < 2e-16 ***
DESTIN_GRID_ID744  -0.7625322  0.0561966   -13.569  < 2e-16 ***
DESTIN_GRID_ID761   0.3348697  0.0566392     5.912 3.37e-09 ***
DESTIN_GRID_ID762  -1.7406872  0.0577587   -30.137  < 2e-16 ***
DESTIN_GRID_ID763  -3.3305642  0.0602167   -55.310  < 2e-16 ***
DESTIN_GRID_ID764  -0.2480610  0.0560918    -4.422 9.76e-06 ***
DESTIN_GRID_ID765  -1.0957001  0.0568309   -19.280  < 2e-16 ***
DESTIN_GRID_ID767  -1.3827795  0.0564507   -24.495  < 2e-16 ***
DESTIN_GRID_ID772  -2.3042872  0.0697004   -33.060  < 2e-16 ***
DESTIN_GRID_ID784  -3.1495557  0.0605078   -52.052  < 2e-16 ***
DESTIN_GRID_ID785  -1.2005457  0.0562720   -21.335  < 2e-16 ***
DESTIN_GRID_ID786  -1.0876295  0.0562036   -19.352  < 2e-16 ***
DESTIN_GRID_ID787  -1.9154086  0.0570940   -33.548  < 2e-16 ***
DESTIN_GRID_ID788  -3.4215223  0.0585593   -58.428  < 2e-16 ***
DESTIN_GRID_ID789  -3.5948161  0.0590513   -60.876  < 2e-16 ***
DESTIN_GRID_ID803  -0.8733909  0.0577475   -15.124  < 2e-16 ***
DESTIN_GRID_ID804  -0.3487188  0.0563526    -6.188 6.09e-10 ***
DESTIN_GRID_ID805   0.5832728  0.0560457    10.407  < 2e-16 ***
DESTIN_GRID_ID806  -1.3031895  0.0562876   -23.152  < 2e-16 ***
DESTIN_GRID_ID807  -1.2828651  0.0564824   -22.713  < 2e-16 ***
DESTIN_GRID_ID808  -2.6934061  0.0588339   -45.780  < 2e-16 ***
DESTIN_GRID_ID809  -1.5036401  0.0562607   -26.726  < 2e-16 ***
DESTIN_GRID_ID810  -1.8304299  0.0566427   -32.315  < 2e-16 ***
DESTIN_GRID_ID814  -1.2222994  0.0598103   -20.436  < 2e-16 ***
DESTIN_GRID_ID819  -0.3485719  0.0584557    -5.963 2.48e-09 ***
DESTIN_GRID_ID824  -0.6543714  0.0577081   -11.339  < 2e-16 ***
DESTIN_GRID_ID826  -0.9557664  0.0563166   -16.971  < 2e-16 ***
DESTIN_GRID_ID827  -1.3277900  0.0563779   -23.552  < 2e-16 ***
DESTIN_GRID_ID828  -1.1629982  0.0562230   -20.685  < 2e-16 ***
DESTIN_GRID_ID829  -1.6129599  0.0566044   -28.495  < 2e-16 ***
DESTIN_GRID_ID830  -3.1434561  0.0579229   -54.270  < 2e-16 ***
DESTIN_GRID_ID831   0.4101318  0.0560476     7.318 2.53e-13 ***
DESTIN_GRID_ID832   0.0261656  0.0561494     0.466 0.641216    
DESTIN_GRID_ID835  -1.6494277  0.0598979   -27.537  < 2e-16 ***
DESTIN_GRID_ID844  -0.9329556  0.0590085   -15.811  < 2e-16 ***
DESTIN_GRID_ID846  -0.9980386  0.0564546   -17.679  < 2e-16 ***
DESTIN_GRID_ID847  -0.2706069  0.0561695    -4.818 1.45e-06 ***
DESTIN_GRID_ID848  -1.5132903  0.0563795   -26.841  < 2e-16 ***
DESTIN_GRID_ID849  -2.1637961  0.0566169   -38.218  < 2e-16 ***
DESTIN_GRID_ID850  -1.3328719  0.0562644   -23.689  < 2e-16 ***
DESTIN_GRID_ID851  -1.9386011  0.0563986   -34.373  < 2e-16 ***
DESTIN_GRID_ID852  -1.9931474  0.0566391   -35.190  < 2e-16 ***
DESTIN_GRID_ID853  -0.9987631  0.0567903   -17.587  < 2e-16 ***
DESTIN_GRID_ID854  -0.8962046  0.0578377   -15.495  < 2e-16 ***
DESTIN_GRID_ID855  -1.8222538  0.0595759   -30.587  < 2e-16 ***
DESTIN_GRID_ID856  -2.4285986  0.0646505   -37.565  < 2e-16 ***
DESTIN_GRID_ID866  -0.1568838  0.0568707    -2.759 0.005805 ** 
DESTIN_GRID_ID867   0.3590664  0.0561670     6.393 1.63e-10 ***
DESTIN_GRID_ID868  -0.1556461  0.0562540    -2.767 0.005660 ** 
DESTIN_GRID_ID869   0.7480666  0.0562247    13.305  < 2e-16 ***
DESTIN_GRID_ID870   0.2431448  0.0560489     4.338 1.44e-05 ***
DESTIN_GRID_ID871   0.1493405  0.0561300     2.661 0.007800 ** 
DESTIN_GRID_ID872  -1.4795778  0.0563202   -26.271  < 2e-16 ***
DESTIN_GRID_ID873  -1.9316118  0.0566807   -34.079  < 2e-16 ***
DESTIN_GRID_ID874  -3.1447609  0.0577028   -54.499  < 2e-16 ***
DESTIN_GRID_ID875  -2.3836801  0.0624070   -38.196  < 2e-16 ***
DESTIN_GRID_ID876  -2.0261508  0.0591613   -34.248  < 2e-16 ***
DESTIN_GRID_ID877  -1.4013240  0.0578875   -24.208  < 2e-16 ***
DESTIN_GRID_ID887  -0.9800010  0.0567178   -17.279  < 2e-16 ***
DESTIN_GRID_ID888  -2.2385999  0.0578990   -38.664  < 2e-16 ***
DESTIN_GRID_ID889  -1.5132996  0.0574806   -26.327  < 2e-16 ***
DESTIN_GRID_ID890  -0.6503022  0.0562100   -11.569  < 2e-16 ***
DESTIN_GRID_ID891  -2.2116856  0.0580584   -38.094  < 2e-16 ***
DESTIN_GRID_ID893  -0.9368046  0.0561606   -16.681  < 2e-16 ***
DESTIN_GRID_ID894  -2.5144371  0.0571447   -44.001  < 2e-16 ***
DESTIN_GRID_ID895  -1.2988405  0.0567252   -22.897  < 2e-16 ***
DESTIN_GRID_ID896  -3.7273942  0.0653753   -57.015  < 2e-16 ***
DESTIN_GRID_ID897  -3.7085978  0.0644011   -57.586  < 2e-16 ***
DESTIN_GRID_ID898  -1.3942920  0.0584698   -23.846  < 2e-16 ***
DESTIN_GRID_ID908  -0.0843897  0.0570444    -1.479 0.139042    
DESTIN_GRID_ID909  -0.9894278  0.0563524   -17.558  < 2e-16 ***
DESTIN_GRID_ID910  -1.9294061  0.0572018   -33.730  < 2e-16 ***
DESTIN_GRID_ID911   0.1438955  0.0561308     2.564 0.010360 *  
DESTIN_GRID_ID912  -1.6717073  0.0565528   -29.560  < 2e-16 ***
DESTIN_GRID_ID915  -1.5337938  0.0563151   -27.236  < 2e-16 ***
DESTIN_GRID_ID917  -0.0695969  0.0562638    -1.237 0.216096    
DESTIN_GRID_ID918  -4.3382571  0.0688926   -62.971  < 2e-16 ***
DESTIN_GRID_ID919  -2.7325354  0.0583727   -46.812  < 2e-16 ***
DESTIN_GRID_ID928  -2.1128464  0.0591398   -35.726  < 2e-16 ***
DESTIN_GRID_ID929  -1.2279249  0.0564996   -21.733  < 2e-16 ***
DESTIN_GRID_ID930   0.0374656  0.0561009     0.668 0.504246    
DESTIN_GRID_ID931  -1.4694589  0.0569965   -25.782  < 2e-16 ***
DESTIN_GRID_ID932  -3.1800504  0.0614029   -51.790  < 2e-16 ***
DESTIN_GRID_ID933  -1.1901952  0.0565811   -21.035  < 2e-16 ***
DESTIN_GRID_ID934  -1.4108314  0.0565158   -24.963  < 2e-16 ***
DESTIN_GRID_ID935   0.4289724  0.0560377     7.655 1.93e-14 ***
DESTIN_GRID_ID938  -5.2647697  0.1535308   -34.291  < 2e-16 ***
DESTIN_GRID_ID939   0.5399083  0.0561264     9.620  < 2e-16 ***
DESTIN_GRID_ID940  -3.4836312  0.0597707   -58.283  < 2e-16 ***
DESTIN_GRID_ID949  -1.7357706  0.0581119   -29.869  < 2e-16 ***
DESTIN_GRID_ID950   0.2359275  0.0562182     4.197 2.71e-05 ***
DESTIN_GRID_ID951   0.9593325  0.0560406    17.119  < 2e-16 ***
DESTIN_GRID_ID952  -0.5235626  0.0565298    -9.262  < 2e-16 ***
DESTIN_GRID_ID953  -1.0583859  0.0567089   -18.663  < 2e-16 ***
DESTIN_GRID_ID954  -2.9818469  0.0587825   -50.727  < 2e-16 ***
DESTIN_GRID_ID955  -0.2300760  0.0561645    -4.096 4.20e-05 ***
DESTIN_GRID_ID956  -2.1876292  0.0568063   -38.510  < 2e-16 ***
DESTIN_GRID_ID957  -2.1539387  0.0568226   -37.906  < 2e-16 ***
DESTIN_GRID_ID959  -1.5009998  0.0594133   -25.264  < 2e-16 ***
DESTIN_GRID_ID961  -1.9544241  0.0574002   -34.049  < 2e-16 ***
DESTIN_GRID_ID962  -0.1721998  0.0563338    -3.057 0.002237 ** 
DESTIN_GRID_ID970  -0.8239264  0.0565593   -14.567  < 2e-16 ***
DESTIN_GRID_ID971  -0.3608449  0.0561715    -6.424 1.33e-10 ***
DESTIN_GRID_ID972  -1.2330365  0.0565073   -21.821  < 2e-16 ***
DESTIN_GRID_ID974  -1.6309305  0.0571239   -28.551  < 2e-16 ***
DESTIN_GRID_ID975  -2.8888583  0.0587362   -49.184  < 2e-16 ***
DESTIN_GRID_ID976  -2.1483559  0.0570393   -37.664  < 2e-16 ***
DESTIN_GRID_ID977  -1.8083919  0.0564149   -32.055  < 2e-16 ***
DESTIN_GRID_ID978  -2.2011188  0.0572058   -38.477  < 2e-16 ***
DESTIN_GRID_ID982  -2.7857811  0.0571933   -48.708  < 2e-16 ***
DESTIN_GRID_ID983   0.0924426  0.0562763     1.643 0.100454    
DESTIN_GRID_ID984   1.5173605  0.0564802    26.865  < 2e-16 ***
DESTIN_GRID_ID991  -0.3412109  0.0564591    -6.044 1.51e-09 ***
DESTIN_GRID_ID992  -0.5094272  0.0563655    -9.038  < 2e-16 ***
DESTIN_GRID_ID993  -1.8101304  0.0568641   -31.833  < 2e-16 ***
DESTIN_GRID_ID994  -1.8884731  0.0573417   -32.934  < 2e-16 ***
DESTIN_GRID_ID995  -1.2602973  0.0566563   -22.245  < 2e-16 ***
DESTIN_GRID_ID996  -1.8874875  0.0572857   -32.949  < 2e-16 ***
DESTIN_GRID_ID997  -1.5715822  0.0575564   -27.305  < 2e-16 ***
DESTIN_GRID_ID998  -1.2580991  0.0563654   -22.320  < 2e-16 ***
DESTIN_GRID_ID999  -2.4246925  0.0570887   -42.472  < 2e-16 ***
DESTIN_GRID_ID1001 -1.3202692  0.0582948   -22.648  < 2e-16 ***
DESTIN_GRID_ID1003  0.0875909  0.0561040     1.561 0.118471    
DESTIN_GRID_ID1004 -1.4489301  0.0562981   -25.737  < 2e-16 ***
DESTIN_GRID_ID1011 -0.7823629  0.0573276   -13.647  < 2e-16 ***
DESTIN_GRID_ID1012  0.1606465  0.0565317     2.842 0.004487 ** 
DESTIN_GRID_ID1013 -0.5150862  0.0564281    -9.128  < 2e-16 ***
DESTIN_GRID_ID1014 -2.5331380  0.0588531   -43.042  < 2e-16 ***
DESTIN_GRID_ID1015 -0.0776588  0.0562201    -1.381 0.167176    
DESTIN_GRID_ID1016  0.2441984  0.0561217     4.351 1.35e-05 ***
DESTIN_GRID_ID1018 -2.1174459  0.0574329   -36.868  < 2e-16 ***
DESTIN_GRID_ID1019 -1.3335598  0.0563819   -23.652  < 2e-16 ***
DESTIN_GRID_ID1023 -2.1665631  0.0577361   -37.525  < 2e-16 ***
DESTIN_GRID_ID1024 -1.0995104  0.0563680   -19.506  < 2e-16 ***
DESTIN_GRID_ID1025 -6.0809771  0.1193859   -50.935  < 2e-16 ***
DESTIN_GRID_ID1033  0.0112310  0.0563473     0.199 0.842015    
DESTIN_GRID_ID1034  0.2406891  0.0561864     4.284 1.84e-05 ***
DESTIN_GRID_ID1035  0.1028650  0.0562069     1.830 0.067233 .  
DESTIN_GRID_ID1036  0.2504604  0.0561637     4.459 8.22e-06 ***
DESTIN_GRID_ID1037 -0.9344767  0.0563959   -16.570  < 2e-16 ***
DESTIN_GRID_ID1043 -0.5350036  0.0571184    -9.367  < 2e-16 ***
DESTIN_GRID_ID1045 -1.2715960  0.0563388   -22.571  < 2e-16 ***
DESTIN_GRID_ID1046 -0.8848292  0.0563429   -15.704  < 2e-16 ***
DESTIN_GRID_ID1053  0.6010904  0.0562068    10.694  < 2e-16 ***
DESTIN_GRID_ID1054  0.1724255  0.0562395     3.066 0.002170 ** 
DESTIN_GRID_ID1055 -1.1397294  0.0567520   -20.083  < 2e-16 ***
DESTIN_GRID_ID1056 -1.5004431  0.0572113   -26.226  < 2e-16 ***
DESTIN_GRID_ID1064 -3.7210466  0.1038052   -35.846  < 2e-16 ***
DESTIN_GRID_ID1066 -0.3765122  0.0561637    -6.704 2.03e-11 ***
DESTIN_GRID_ID1067 -6.1181607  0.1534569   -39.869  < 2e-16 ***
DESTIN_GRID_ID1074 -1.5496646  0.0579841   -26.726  < 2e-16 ***
DESTIN_GRID_ID1075 -0.1061315  0.0564316    -1.881 0.060011 .  
DESTIN_GRID_ID1076 -0.6700219  0.0564584   -11.868  < 2e-16 ***
DESTIN_GRID_ID1077 -1.3809175  0.0569795   -24.235  < 2e-16 ***
DESTIN_GRID_ID1079 -0.4008110  0.0563221    -7.116 1.11e-12 ***
DESTIN_GRID_ID1085 -1.8028506  0.0755160   -23.874  < 2e-16 ***
DESTIN_GRID_ID1087 -1.1466869  0.0563728   -20.341  < 2e-16 ***
DESTIN_GRID_ID1088 -0.8564532  0.0563062   -15.211  < 2e-16 ***
DESTIN_GRID_ID1094 -3.1262705  0.0791535   -39.496  < 2e-16 ***
DESTIN_GRID_ID1095 -0.7532053  0.0581880   -12.944  < 2e-16 ***
DESTIN_GRID_ID1096 -0.3551830  0.0584040    -6.081 1.19e-09 ***
DESTIN_GRID_ID1097  0.3209940  0.0561534     5.716 1.09e-08 ***
DESTIN_GRID_ID1098 -2.4166759  0.0607966   -39.750  < 2e-16 ***
DESTIN_GRID_ID1099 -1.1200361  0.0566411   -19.774  < 2e-16 ***
DESTIN_GRID_ID1105  0.8645824  0.0567727    15.229  < 2e-16 ***
DESTIN_GRID_ID1106 -4.3305804  0.1159654   -37.344  < 2e-16 ***
DESTIN_GRID_ID1107 -0.7269720  0.0565396   -12.858  < 2e-16 ***
DESTIN_GRID_ID1108  1.3797181  0.0560444    24.618  < 2e-16 ***
DESTIN_GRID_ID1109 -3.6416208  0.0665974   -54.681  < 2e-16 ***
DESTIN_GRID_ID1116 -0.4983185  0.0566748    -8.793  < 2e-16 ***
DESTIN_GRID_ID1117 -0.2036456  0.0565714    -3.600 0.000318 ***
DESTIN_GRID_ID1118 -2.2185021  0.0594735   -37.302  < 2e-16 ***
DESTIN_GRID_ID1119 -1.5185886  0.0571784   -26.559  < 2e-16 ***
DESTIN_GRID_ID1120 -2.0763816  0.0591065   -35.129  < 2e-16 ***
DESTIN_GRID_ID1129 -1.7768555  0.0566337   -31.375  < 2e-16 ***
DESTIN_GRID_ID1130 -0.9824320  0.0562950   -17.451  < 2e-16 ***
DESTIN_GRID_ID1131  0.1582357  0.0564281     2.804 0.005044 ** 
DESTIN_GRID_ID1136  0.6085001  0.0562296    10.822  < 2e-16 ***
DESTIN_GRID_ID1138 -1.8534763  0.0593315   -31.239  < 2e-16 ***
DESTIN_GRID_ID1139 -1.0276690  0.0565430   -18.175  < 2e-16 ***
DESTIN_GRID_ID1141 -1.0062856  0.0566245   -17.771  < 2e-16 ***
DESTIN_GRID_ID1148 -2.0408606  0.0639190   -31.929  < 2e-16 ***
DESTIN_GRID_ID1149 -2.1288040  0.0577778   -36.845  < 2e-16 ***
DESTIN_GRID_ID1150 -1.7696112  0.0564801   -31.332  < 2e-16 ***
DESTIN_GRID_ID1151 -0.9475245  0.0564125   -16.796  < 2e-16 ***
DESTIN_GRID_ID1158 -1.4116201  0.0573004   -24.635  < 2e-16 ***
DESTIN_GRID_ID1159 -1.2908438  0.0568862   -22.692  < 2e-16 ***
DESTIN_GRID_ID1160  0.3302352  0.0561530     5.881 4.08e-09 ***
DESTIN_GRID_ID1171 -0.7515455  0.0563494   -13.337  < 2e-16 ***
DESTIN_GRID_ID1172  0.5628361  0.0560920    10.034  < 2e-16 ***
DESTIN_GRID_ID1173  0.1417609  0.0562535     2.520 0.011734 *  
DESTIN_GRID_ID1174 -2.0868565  0.0692699   -30.126  < 2e-16 ***
DESTIN_GRID_ID1178  0.7908148  0.0561235    14.091  < 2e-16 ***
DESTIN_GRID_ID1179 -0.1705823  0.0562696    -3.032 0.002433 ** 
DESTIN_GRID_ID1180 -0.0609497  0.0562133    -1.084 0.278250    
DESTIN_GRID_ID1181 -1.3064052  0.0567860   -23.006  < 2e-16 ***
DESTIN_GRID_ID1183  0.4331267  0.0561510     7.714 1.22e-14 ***
DESTIN_GRID_ID1190 -1.8914621  0.0623615   -30.331  < 2e-16 ***
DESTIN_GRID_ID1192 -0.7918191  0.0562865   -14.068  < 2e-16 ***
DESTIN_GRID_ID1193 -0.5232002  0.0562705    -9.298  < 2e-16 ***
DESTIN_GRID_ID1194  0.0810440  0.0563442     1.438 0.150328    
DESTIN_GRID_ID1200 -0.5231890  0.0565643    -9.249  < 2e-16 ***
DESTIN_GRID_ID1201 -0.7987756  0.0565878   -14.116  < 2e-16 ***
DESTIN_GRID_ID1203 -0.8823632  0.0566732   -15.569  < 2e-16 ***
DESTIN_GRID_ID1204 -1.0295947  0.0567309   -18.149  < 2e-16 ***
DESTIN_GRID_ID1211 -5.9137136  0.4507529   -13.120  < 2e-16 ***
DESTIN_GRID_ID1214 -1.7201975  0.0567567   -30.308  < 2e-16 ***
DESTIN_GRID_ID1215 -0.8778684  0.0572532   -15.333  < 2e-16 ***
DESTIN_GRID_ID1216 -0.3742181  0.0569359    -6.573 4.94e-11 ***
DESTIN_GRID_ID1220 -0.3160196  0.0563763    -5.606 2.08e-08 ***
DESTIN_GRID_ID1221  0.2568795  0.0561685     4.573 4.80e-06 ***
DESTIN_GRID_ID1222 -0.9422251  0.0575839   -16.363  < 2e-16 ***
DESTIN_GRID_ID1223 -1.6014623  0.0575715   -27.817  < 2e-16 ***
DESTIN_GRID_ID1224 -0.7930928  0.0565818   -14.017  < 2e-16 ***
DESTIN_GRID_ID1231 -3.3979708  0.0847214   -40.108  < 2e-16 ***
DESTIN_GRID_ID1232 -1.3709575  0.0609626   -22.488  < 2e-16 ***
DESTIN_GRID_ID1235 -0.8203487  0.0563323   -14.563  < 2e-16 ***
DESTIN_GRID_ID1236 -0.8941377  0.0566587   -15.781  < 2e-16 ***
DESTIN_GRID_ID1241 -1.6110987  0.0574229   -28.057  < 2e-16 ***
DESTIN_GRID_ID1242 -1.1404454  0.0568438   -20.063  < 2e-16 ***
DESTIN_GRID_ID1243  0.0481299  0.0562362     0.856 0.392079    
DESTIN_GRID_ID1246 -1.2905054  0.0568441   -22.703  < 2e-16 ***
DESTIN_GRID_ID1256 -1.6026240  0.0567358   -28.247  < 2e-16 ***
DESTIN_GRID_ID1257 -0.3957453  0.0563729    -7.020 2.22e-12 ***
DESTIN_GRID_ID1258  0.5420228  0.0562611     9.634  < 2e-16 ***
DESTIN_GRID_ID1262 -1.9150896  0.0579268   -33.061  < 2e-16 ***
DESTIN_GRID_ID1263  0.4349248  0.0561091     7.751 9.09e-15 ***
DESTIN_GRID_ID1264 -0.3608169  0.0565275    -6.383 1.74e-10 ***
DESTIN_GRID_ID1265 -0.4517379  0.0566207    -7.978 1.48e-15 ***
DESTIN_GRID_ID1266 -0.4246982  0.0564507    -7.523 5.34e-14 ***
DESTIN_GRID_ID1267 -2.0650415  0.0594313   -34.747  < 2e-16 ***
DESTIN_GRID_ID1272 -5.5920711  0.1312623   -42.602  < 2e-16 ***
DESTIN_GRID_ID1273 -0.4486532  0.0564810    -7.943 1.97e-15 ***
DESTIN_GRID_ID1277 -0.2986624  0.0562051    -5.314 1.07e-07 ***
DESTIN_GRID_ID1278 -0.5955152  0.0563647   -10.565  < 2e-16 ***
DESTIN_GRID_ID1283  0.8707453  0.0561091    15.519  < 2e-16 ***
DESTIN_GRID_ID1284  0.4236440  0.0561502     7.545 4.53e-14 ***
DESTIN_GRID_ID1285  0.1737583  0.0562062     3.091 0.001992 ** 
DESTIN_GRID_ID1286 -0.7043013  0.0569435   -12.368  < 2e-16 ***
DESTIN_GRID_ID1289 -3.1034309  0.0691255   -44.896  < 2e-16 ***
DESTIN_GRID_ID1293 -4.6578892  0.1038061   -44.871  < 2e-16 ***
DESTIN_GRID_ID1294 -0.5967210  0.0567661   -10.512  < 2e-16 ***
DESTIN_GRID_ID1295 -3.0918991  0.0616850   -50.124  < 2e-16 ***
DESTIN_GRID_ID1298 -1.1745647  0.0564876   -20.793  < 2e-16 ***
DESTIN_GRID_ID1299 -1.3947047  0.0568352   -24.539  < 2e-16 ***
DESTIN_GRID_ID1304 -0.0841686  0.0563314    -1.494 0.135131    
DESTIN_GRID_ID1305 -0.0760250  0.0561888    -1.353 0.176047    
DESTIN_GRID_ID1307 -1.3162147  0.0592493   -22.215  < 2e-16 ***
DESTIN_GRID_ID1308 -0.1765269  0.0562937    -3.136 0.001714 ** 
DESTIN_GRID_ID1310 -5.0681125  0.2305201   -21.986  < 2e-16 ***
DESTIN_GRID_ID1316 -2.3791852  0.0582859   -40.819  < 2e-16 ***
DESTIN_GRID_ID1317 -2.6293342  0.0578843   -45.424  < 2e-16 ***
DESTIN_GRID_ID1318 -2.7711165  0.0588132   -47.117  < 2e-16 ***
DESTIN_GRID_ID1319  0.1983549  0.0561380     3.533 0.000410 ***
DESTIN_GRID_ID1320 -1.7658892  0.0575996   -30.658  < 2e-16 ***
DESTIN_GRID_ID1324 -0.2609049  0.0594519    -4.389 1.14e-05 ***
DESTIN_GRID_ID1325 -2.1815852  0.0584409   -37.330  < 2e-16 ***
DESTIN_GRID_ID1326 -0.5162702  0.0563644    -9.160  < 2e-16 ***
DESTIN_GRID_ID1327 -0.2424527  0.0562821    -4.308 1.65e-05 ***
DESTIN_GRID_ID1328 -0.4355573  0.0564460    -7.716 1.20e-14 ***
DESTIN_GRID_ID1329 -0.6445948  0.0568481   -11.339  < 2e-16 ***
DESTIN_GRID_ID1330  0.7070663  0.0562368    12.573  < 2e-16 ***
DESTIN_GRID_ID1331 -5.9036532  0.2940578   -20.077  < 2e-16 ***
DESTIN_GRID_ID1333 -1.9800357  0.0586099   -33.783  < 2e-16 ***
DESTIN_GRID_ID1334 -1.6180165  0.0578184   -27.984  < 2e-16 ***
DESTIN_GRID_ID1335  0.1096276  0.0563009     1.947 0.051514 .  
DESTIN_GRID_ID1336 -3.1339479  0.0740437   -42.326  < 2e-16 ***
DESTIN_GRID_ID1337 -3.5413382  0.0660800   -53.592  < 2e-16 ***
DESTIN_GRID_ID1338 -3.8164371  0.0630059   -60.573  < 2e-16 ***
DESTIN_GRID_ID1339 -0.2347221  0.0561674    -4.179 2.93e-05 ***
DESTIN_GRID_ID1340 -1.6688073  0.0570103   -29.272  < 2e-16 ***
DESTIN_GRID_ID1341 -5.2811378  0.1106253   -47.739  < 2e-16 ***
DESTIN_GRID_ID1346 -0.3835754  0.0565731    -6.780 1.20e-11 ***
DESTIN_GRID_ID1347  0.8169439  0.0561329    14.554  < 2e-16 ***
DESTIN_GRID_ID1348 -0.6502083  0.0564861   -11.511  < 2e-16 ***
DESTIN_GRID_ID1349  0.3531679  0.0562835     6.275 3.50e-10 ***
DESTIN_GRID_ID1350 -1.3152760  0.0577517   -22.775  < 2e-16 ***
DESTIN_GRID_ID1353 -0.6955529  0.0565046   -12.310  < 2e-16 ***
DESTIN_GRID_ID1354 -1.3425859  0.0569482   -23.576  < 2e-16 ***
DESTIN_GRID_ID1355 -1.7272775  0.0572968   -30.146  < 2e-16 ***
DESTIN_GRID_ID1357 -2.1914227  0.0593427   -36.928  < 2e-16 ***
DESTIN_GRID_ID1358 -0.0729799  0.0561468    -1.300 0.193668    
DESTIN_GRID_ID1359 -1.3593462  0.0563876   -24.107  < 2e-16 ***
DESTIN_GRID_ID1360 -1.5594546  0.0564870   -27.607  < 2e-16 ***
DESTIN_GRID_ID1361 -1.5513903  0.0569416   -27.245  < 2e-16 ***
DESTIN_GRID_ID1362 -2.7119369  0.0627646   -43.208  < 2e-16 ***
DESTIN_GRID_ID1368 -1.3218464  0.0569403   -23.215  < 2e-16 ***
DESTIN_GRID_ID1369 -1.1276487  0.0567636   -19.866  < 2e-16 ***
DESTIN_GRID_ID1370  0.4582732  0.0561293     8.165 3.23e-16 ***
DESTIN_GRID_ID1371 -0.3822067  0.0564967    -6.765 1.33e-11 ***
DESTIN_GRID_ID1372 -0.3893765  0.0564191    -6.902 5.15e-12 ***
DESTIN_GRID_ID1373 -3.4269485  0.0669605   -51.179  < 2e-16 ***
DESTIN_GRID_ID1374 -2.2012366  0.0582408   -37.795  < 2e-16 ***
DESTIN_GRID_ID1375 -0.3644803  0.0565549    -6.445 1.16e-10 ***
DESTIN_GRID_ID1376 -1.9982118  0.0585687   -34.117  < 2e-16 ***
DESTIN_GRID_ID1379 -5.2816925  0.0957358   -55.169  < 2e-16 ***
DESTIN_GRID_ID1380  0.5213593  0.0560769     9.297  < 2e-16 ***
DESTIN_GRID_ID1381  0.6988865  0.0560660    12.465  < 2e-16 ***
DESTIN_GRID_ID1382 -0.1232571  0.0562194    -2.192 0.028348 *  
DESTIN_GRID_ID1383 -2.8345383  0.0594929   -47.645  < 2e-16 ***
DESTIN_GRID_ID1388 -0.5482583  0.0564569    -9.711  < 2e-16 ***
DESTIN_GRID_ID1389 -0.7904836  0.0565832   -13.970  < 2e-16 ***
DESTIN_GRID_ID1390 -0.4480803  0.0564776    -7.934 2.13e-15 ***
DESTIN_GRID_ID1391  0.2722109  0.0562252     4.841 1.29e-06 ***
DESTIN_GRID_ID1392 -0.2955960  0.0571804    -5.170 2.35e-07 ***
DESTIN_GRID_ID1393 -0.9751815  0.0566445   -17.216  < 2e-16 ***
DESTIN_GRID_ID1394 -0.6498214  0.0563710   -11.528  < 2e-16 ***
DESTIN_GRID_ID1395 -1.1145862  0.0565387   -19.714  < 2e-16 ***
DESTIN_GRID_ID1396 -0.3564974  0.0562643    -6.336 2.36e-10 ***
DESTIN_GRID_ID1397 -1.4689653  0.0566950   -25.910  < 2e-16 ***
DESTIN_GRID_ID1398 -1.7370471  0.0580780   -29.909  < 2e-16 ***
DESTIN_GRID_ID1400 -2.2039147  0.0571987   -38.531  < 2e-16 ***
DESTIN_GRID_ID1401 -0.4623273  0.0561239    -8.238  < 2e-16 ***
DESTIN_GRID_ID1402 -1.1855657  0.0563076   -21.055  < 2e-16 ***
DESTIN_GRID_ID1404 -1.8540280  0.0619336   -29.936  < 2e-16 ***
DESTIN_GRID_ID1410  0.0039133  0.0562401     0.070 0.944526    
DESTIN_GRID_ID1411 -0.4197638  0.0565602    -7.422 1.16e-13 ***
DESTIN_GRID_ID1412  0.1363592  0.0561822     2.427 0.015220 *  
DESTIN_GRID_ID1413 -0.5302135  0.0564110    -9.399  < 2e-16 ***
DESTIN_GRID_ID1414 -0.5835626  0.0563296   -10.360  < 2e-16 ***
DESTIN_GRID_ID1415 -0.2978405  0.0562792    -5.292 1.21e-07 ***
DESTIN_GRID_ID1416 -0.8384015  0.0564770   -14.845  < 2e-16 ***
DESTIN_GRID_ID1417 -0.6693028  0.0562745   -11.894  < 2e-16 ***
DESTIN_GRID_ID1418 -0.7630462  0.0563191   -13.549  < 2e-16 ***
DESTIN_GRID_ID1419 -1.0972971  0.0565480   -19.405  < 2e-16 ***
DESTIN_GRID_ID1422 -1.5698334  0.0563857   -27.841  < 2e-16 ***
DESTIN_GRID_ID1423 -1.0852339  0.0562940   -19.278  < 2e-16 ***
DESTIN_GRID_ID1430  0.2344551  0.0562510     4.168 3.07e-05 ***
DESTIN_GRID_ID1431  0.5040999  0.0561454     8.978  < 2e-16 ***
DESTIN_GRID_ID1432  0.2188150  0.0561589     3.896 9.77e-05 ***
DESTIN_GRID_ID1433 -0.6728524  0.0568938   -11.826  < 2e-16 ***
DESTIN_GRID_ID1434  0.3291043  0.0561597     5.860 4.62e-09 ***
DESTIN_GRID_ID1435 -0.2213985  0.0562033    -3.939 8.17e-05 ***
DESTIN_GRID_ID1436 -1.5380799  0.0570637   -26.954  < 2e-16 ***
DESTIN_GRID_ID1437 -0.9240520  0.0564039   -16.383  < 2e-16 ***
DESTIN_GRID_ID1438 -0.4225499  0.0561740    -7.522 5.39e-14 ***
DESTIN_GRID_ID1439  0.4070856  0.0561096     7.255 4.01e-13 ***
DESTIN_GRID_ID1440 -0.4516093  0.0564587    -7.999 1.26e-15 ***
DESTIN_GRID_ID1442 -3.4749394  0.0594305   -58.471  < 2e-16 ***
DESTIN_GRID_ID1443 -1.4923015  0.0563691   -26.474  < 2e-16 ***
DESTIN_GRID_ID1444 -0.4512428  0.0563769    -8.004 1.20e-15 ***
DESTIN_GRID_ID1452  0.9331452  0.0560860    16.638  < 2e-16 ***
DESTIN_GRID_ID1453 -0.0482627  0.0562845    -0.857 0.391181    
DESTIN_GRID_ID1454 -1.0615080  0.0574927   -18.463  < 2e-16 ***
DESTIN_GRID_ID1455 -0.4411768  0.0564959    -7.809 5.76e-15 ***
DESTIN_GRID_ID1456 -0.4821884  0.0563390    -8.559  < 2e-16 ***
DESTIN_GRID_ID1457  0.0637614  0.0562090     1.134 0.256643    
DESTIN_GRID_ID1458  0.9975168  0.0560544    17.796  < 2e-16 ***
DESTIN_GRID_ID1459 -1.7897080  0.0567283   -31.549  < 2e-16 ***
DESTIN_GRID_ID1460 -0.6006043  0.0561996   -10.687  < 2e-16 ***
DESTIN_GRID_ID1461 -0.6782157  0.0564417   -12.016  < 2e-16 ***
DESTIN_GRID_ID1464 -1.5961451  0.0565114   -28.245  < 2e-16 ***
DESTIN_GRID_ID1465 -2.5207198  0.0573377   -43.963  < 2e-16 ***
DESTIN_GRID_ID1472 -0.1356126  0.0565367    -2.399 0.016455 *  
DESTIN_GRID_ID1473  0.7336690  0.0561236    13.072  < 2e-16 ***
DESTIN_GRID_ID1474  0.4350107  0.0561110     7.753 9.00e-15 ***
DESTIN_GRID_ID1475 -0.0082180  0.0562032    -0.146 0.883748    
DESTIN_GRID_ID1476 -0.8478584  0.0565247   -15.000  < 2e-16 ***
DESTIN_GRID_ID1477  0.8837622  0.0560469    15.768  < 2e-16 ***
DESTIN_GRID_ID1478 -0.6956161  0.0562599   -12.364  < 2e-16 ***
DESTIN_GRID_ID1479 -1.4629714  0.0565150   -25.886  < 2e-16 ***
DESTIN_GRID_ID1480  0.7506112  0.0560537    13.391  < 2e-16 ***
DESTIN_GRID_ID1481 -0.9299056  0.0564528   -16.472  < 2e-16 ***
DESTIN_GRID_ID1482  0.2626726  0.0562346     4.671 3.00e-06 ***
DESTIN_GRID_ID1485 -2.9231375  0.0577205   -50.643  < 2e-16 ***
DESTIN_GRID_ID1494  0.5629575  0.0561671    10.023  < 2e-16 ***
DESTIN_GRID_ID1495 -0.4122904  0.0563622    -7.315 2.57e-13 ***
DESTIN_GRID_ID1496  0.3849659  0.0561218     6.859 6.91e-12 ***
DESTIN_GRID_ID1497 -0.9085985  0.0565921   -16.055  < 2e-16 ***
DESTIN_GRID_ID1498 -0.7672298  0.0564219   -13.598  < 2e-16 ***
DESTIN_GRID_ID1499 -0.4961640  0.0561949    -8.829  < 2e-16 ***
DESTIN_GRID_ID1500 -0.7943129  0.0566524   -14.021  < 2e-16 ***
DESTIN_GRID_ID1501 -0.1663320  0.0561383    -2.963 0.003048 ** 
DESTIN_GRID_ID1502 -0.3275382  0.0561765    -5.831 5.53e-09 ***
DESTIN_GRID_ID1506 -3.1809385  0.0885170   -35.936  < 2e-16 ***
DESTIN_GRID_ID1515 -0.3480165  0.0579460    -6.006 1.90e-09 ***
DESTIN_GRID_ID1516  0.4680383  0.0561180     8.340  < 2e-16 ***
DESTIN_GRID_ID1517 -0.4372185  0.0564739    -7.742 9.79e-15 ***
DESTIN_GRID_ID1518 -1.2495100  0.0566984   -22.038  < 2e-16 ***
DESTIN_GRID_ID1519 -1.1022192  0.0566972   -19.440  < 2e-16 ***
DESTIN_GRID_ID1520 -1.2670108  0.0564664   -22.438  < 2e-16 ***
DESTIN_GRID_ID1521 -1.2114353  0.0565028   -21.440  < 2e-16 ***
DESTIN_GRID_ID1522 -0.6242915  0.0562496   -11.099  < 2e-16 ***
DESTIN_GRID_ID1523  0.7545810  0.0561887    13.429  < 2e-16 ***
DESTIN_GRID_ID1524 -1.6672302  0.0574744   -29.008  < 2e-16 ***
DESTIN_GRID_ID1527 -4.2239580  0.0668692   -63.167  < 2e-16 ***
DESTIN_GRID_ID1535 -0.8022324  0.0907257    -8.842  < 2e-16 ***
DESTIN_GRID_ID1536 -1.8512617  0.0634257   -29.188  < 2e-16 ***
DESTIN_GRID_ID1537  0.0134855  0.0563753     0.239 0.810943    
DESTIN_GRID_ID1538 -0.2582338  0.0562810    -4.588 4.47e-06 ***
DESTIN_GRID_ID1539 -0.2979640  0.0562143    -5.301 1.15e-07 ***
DESTIN_GRID_ID1540 -1.0047033  0.0563705   -17.823  < 2e-16 ***
DESTIN_GRID_ID1541 -0.2445014  0.0565722    -4.322 1.55e-05 ***
DESTIN_GRID_ID1542 -0.9957250  0.0567735   -17.539  < 2e-16 ***
DESTIN_GRID_ID1543 -1.4578058  0.0631192   -23.096  < 2e-16 ***
DESTIN_GRID_ID1544 -1.2423031  0.0568377   -21.857  < 2e-16 ***
DESTIN_GRID_ID1547 -1.8841756  0.0580090   -32.481  < 2e-16 ***
DESTIN_GRID_ID1556 -0.8247140  0.0924574    -8.920  < 2e-16 ***
DESTIN_GRID_ID1557 -1.4821358  0.0599516   -24.722  < 2e-16 ***
DESTIN_GRID_ID1558 -0.3728122  0.0576864    -6.463 1.03e-10 ***
DESTIN_GRID_ID1559  0.2630976  0.0561416     4.686 2.78e-06 ***
DESTIN_GRID_ID1560  0.2344931  0.0561306     4.178 2.95e-05 ***
DESTIN_GRID_ID1561 -0.6409872  0.0564438   -11.356  < 2e-16 ***
DESTIN_GRID_ID1562 -2.5859721  0.0584819   -44.218  < 2e-16 ***
DESTIN_GRID_ID1563 -1.7764921  0.0568660   -31.240  < 2e-16 ***
DESTIN_GRID_ID1564 -1.3835080  0.0566439   -24.425  < 2e-16 ***
DESTIN_GRID_ID1565 -0.7906930  0.0563630   -14.029  < 2e-16 ***
DESTIN_GRID_ID1566 -2.5908408  0.0585936   -44.217  < 2e-16 ***
DESTIN_GRID_ID1567 -2.4264820  0.0589219   -41.181  < 2e-16 ***
DESTIN_GRID_ID1568 -1.3776201  0.0571817   -24.092  < 2e-16 ***
DESTIN_GRID_ID1578 -1.3263975  0.1247787   -10.630  < 2e-16 ***
DESTIN_GRID_ID1580 -2.6259202  0.0633133   -41.475  < 2e-16 ***
DESTIN_GRID_ID1581 -0.2000437  0.0562244    -3.558 0.000374 ***
DESTIN_GRID_ID1582 -0.0304773  0.0561416    -0.543 0.587222    
DESTIN_GRID_ID1583 -1.9523357  0.0602891   -32.383  < 2e-16 ***
DESTIN_GRID_ID1584 -1.6618602  0.0574313   -28.936  < 2e-16 ***
DESTIN_GRID_ID1585 -1.3296418  0.0567304   -23.438  < 2e-16 ***
DESTIN_GRID_ID1586 -0.5149105  0.0562648    -9.152  < 2e-16 ***
DESTIN_GRID_ID1589 -2.7906326  0.0603243   -46.261  < 2e-16 ***
DESTIN_GRID_ID1590 -1.5691759  0.0576688   -27.210  < 2e-16 ***
DESTIN_GRID_ID1600 -0.7660935  0.0583739   -13.124  < 2e-16 ***
DESTIN_GRID_ID1601 -1.1283463  0.0565251   -19.962  < 2e-16 ***
DESTIN_GRID_ID1602 -0.7954952  0.0564658   -14.088  < 2e-16 ***
DESTIN_GRID_ID1603  0.3316002  0.0561398     5.907 3.49e-09 ***
DESTIN_GRID_ID1604 -1.9514903  0.0571337   -34.157  < 2e-16 ***
DESTIN_GRID_ID1605 -0.9100869  0.0563235   -16.158  < 2e-16 ***
DESTIN_GRID_ID1606 -1.7628217  0.0580693   -30.357  < 2e-16 ***
DESTIN_GRID_ID1607 -0.3333758  0.0561631    -5.936 2.92e-09 ***
DESTIN_GRID_ID1608 -1.1883975  0.0564177   -21.064  < 2e-16 ***
DESTIN_GRID_ID1609 -0.3918562  0.0562437    -6.967 3.24e-12 ***
DESTIN_GRID_ID1610 -2.5479785  0.0625846   -40.713  < 2e-16 ***
DESTIN_GRID_ID1622 -0.5266313  0.0574531    -9.166  < 2e-16 ***
DESTIN_GRID_ID1623 -0.0876395  0.0561638    -1.560 0.118659    
DESTIN_GRID_ID1624  0.4689155  0.0561307     8.354  < 2e-16 ***
DESTIN_GRID_ID1625 -0.4500448  0.0563075    -7.993 1.32e-15 ***
DESTIN_GRID_ID1626  1.2257979  0.0560381    21.874  < 2e-16 ***
DESTIN_GRID_ID1627 -1.8723213  0.0567655   -32.983  < 2e-16 ***
DESTIN_GRID_ID1628  0.1505800  0.0561156     2.683 0.007288 ** 
DESTIN_GRID_ID1629 -2.9369964  0.0582791   -50.395  < 2e-16 ***
DESTIN_GRID_ID1630 -2.5332098  0.0574018   -44.131  < 2e-16 ***
DESTIN_GRID_ID1631 -2.6914342  0.0588248   -45.753  < 2e-16 ***
DESTIN_GRID_ID1642 -2.8370835  0.0654123   -43.372  < 2e-16 ***
DESTIN_GRID_ID1643 -0.5784856  0.0563287   -10.270  < 2e-16 ***
DESTIN_GRID_ID1644 -0.5731221  0.0565948   -10.127  < 2e-16 ***
DESTIN_GRID_ID1645 -0.7455972  0.0563934   -13.221  < 2e-16 ***
DESTIN_GRID_ID1646 -0.4560806  0.0565864    -8.060 7.64e-16 ***
DESTIN_GRID_ID1647 -1.2280563  0.0563772   -21.783  < 2e-16 ***
DESTIN_GRID_ID1648 -1.0947111  0.0563015   -19.444  < 2e-16 ***
DESTIN_GRID_ID1649 -0.5720565  0.0561642   -10.185  < 2e-16 ***
DESTIN_GRID_ID1650 -1.5018495  0.0565590   -26.554  < 2e-16 ***
DESTIN_GRID_ID1664 -5.0460389  0.1428160   -35.332  < 2e-16 ***
DESTIN_GRID_ID1665  0.0223170  0.0561504     0.397 0.691036    
DESTIN_GRID_ID1666  0.0642889  0.0561444     1.145 0.252183    
DESTIN_GRID_ID1667 -0.6477618  0.0578917   -11.189  < 2e-16 ***
DESTIN_GRID_ID1668 -1.2156570  0.0564659   -21.529  < 2e-16 ***
DESTIN_GRID_ID1670 -0.7239558  0.0561844   -12.885  < 2e-16 ***
DESTIN_GRID_ID1671 -1.3046524  0.0573100   -22.765  < 2e-16 ***
DESTIN_GRID_ID1672 -2.3017657  0.0575294   -40.010  < 2e-16 ***
DESTIN_GRID_ID1684 -0.2467424  0.0567528    -4.348 1.38e-05 ***
DESTIN_GRID_ID1685 -1.4878445  0.0568485   -26.172  < 2e-16 ***
DESTIN_GRID_ID1686 -0.5976035  0.0563031   -10.614  < 2e-16 ***
DESTIN_GRID_ID1687 -0.3391322  0.0564341    -6.009 1.86e-09 ***
DESTIN_GRID_ID1688 -1.1460057  0.0564648   -20.296  < 2e-16 ***
DESTIN_GRID_ID1689 -1.9084238  0.0569741   -33.496  < 2e-16 ***
DESTIN_GRID_ID1690 -2.6182911  0.0577368   -45.349  < 2e-16 ***
DESTIN_GRID_ID1691 -0.6290514  0.0561748   -11.198  < 2e-16 ***
DESTIN_GRID_ID1692 -2.7205292  0.0580748   -46.845  < 2e-16 ***
DESTIN_GRID_ID1706 -0.7153830  0.0565877   -12.642  < 2e-16 ***
DESTIN_GRID_ID1707 -1.5098886  0.0566956   -26.632  < 2e-16 ***
DESTIN_GRID_ID1708 -0.9125713  0.0564063   -16.179  < 2e-16 ***
DESTIN_GRID_ID1709 -0.1539442  0.0561937    -2.740 0.006153 ** 
DESTIN_GRID_ID1710 -0.3365301  0.0562252    -5.985 2.16e-09 ***
DESTIN_GRID_ID1711  0.1229632  0.0561156     2.191 0.028434 *  
DESTIN_GRID_ID1712 -0.7931185  0.0561877   -14.116  < 2e-16 ***
DESTIN_GRID_ID1713 -3.1686569  0.0584391   -54.221  < 2e-16 ***
DESTIN_GRID_ID1714 -1.8579726  0.0567287   -32.752  < 2e-16 ***
DESTIN_GRID_ID1727 -0.2332984  0.0562936    -4.144 3.41e-05 ***
DESTIN_GRID_ID1728 -0.2112223  0.0561920    -3.759 0.000171 ***
DESTIN_GRID_ID1729 -0.1001253  0.0561685    -1.783 0.074653 .  
DESTIN_GRID_ID1730 -1.0906047  0.0566335   -19.257  < 2e-16 ***
DESTIN_GRID_ID1731 -0.2683686  0.0561838    -4.777 1.78e-06 ***
DESTIN_GRID_ID1732 -0.9494560  0.0562252   -16.887  < 2e-16 ***
DESTIN_GRID_ID1733 -2.1172308  0.0566995   -37.341  < 2e-16 ***
DESTIN_GRID_ID1734 -0.9081685  0.0562209   -16.154  < 2e-16 ***
DESTIN_GRID_ID1735 -1.7545412  0.0583529   -30.068  < 2e-16 ***
DESTIN_GRID_ID1748 -1.2750831  0.0568310   -22.436  < 2e-16 ***
DESTIN_GRID_ID1749 -0.0776797  0.0561533    -1.383 0.166557    
DESTIN_GRID_ID1750 -0.0941820  0.0561650    -1.677 0.093566 .  
DESTIN_GRID_ID1751 -0.5409649  0.0563602    -9.598  < 2e-16 ***
DESTIN_GRID_ID1753 -0.3756315  0.0561827    -6.686 2.30e-11 ***
DESTIN_GRID_ID1754  0.4667613  0.0560579     8.326  < 2e-16 ***
DESTIN_GRID_ID1755 -0.3284496  0.0561130    -5.853 4.82e-09 ***
DESTIN_GRID_ID1756 -1.4048190  0.0563144   -24.946  < 2e-16 ***
DESTIN_GRID_ID1757 -3.7015103  0.0606583   -61.022  < 2e-16 ***
DESTIN_GRID_ID1769 -0.5417919  0.0563455    -9.616  < 2e-16 ***
DESTIN_GRID_ID1770 -0.8078615  0.0566430   -14.262  < 2e-16 ***
DESTIN_GRID_ID1771 -0.0077434  0.0562428    -0.138 0.890495    
DESTIN_GRID_ID1772  1.0966498  0.0564632    19.422  < 2e-16 ***
DESTIN_GRID_ID1774 -1.5267601  0.0564653   -27.039  < 2e-16 ***
DESTIN_GRID_ID1775 -1.9485151  0.0565807   -34.438  < 2e-16 ***
DESTIN_GRID_ID1776  0.2437395  0.0560672     4.347 1.38e-05 ***
DESTIN_GRID_ID1777 -1.9301153  0.0565589   -34.126  < 2e-16 ***
DESTIN_GRID_ID1778 -2.8594198  0.0605519   -47.223  < 2e-16 ***
DESTIN_GRID_ID1790 -0.0060642  0.0562621    -0.108 0.914166    
DESTIN_GRID_ID1791 -0.6689403  0.0564005   -11.861  < 2e-16 ***
DESTIN_GRID_ID1792 -0.3852140  0.0564891    -6.819 9.15e-12 ***
DESTIN_GRID_ID1793 -0.4019609  0.0563113    -7.138 9.46e-13 ***
DESTIN_GRID_ID1794  1.4096108  0.0565025    24.948  < 2e-16 ***
DESTIN_GRID_ID1795 -2.8509679  0.0599626   -47.546  < 2e-16 ***
DESTIN_GRID_ID1796 -0.8581862  0.0562601   -15.254  < 2e-16 ***
DESTIN_GRID_ID1797 -1.2846326  0.0562883   -22.822  < 2e-16 ***
DESTIN_GRID_ID1798 -1.2054336  0.0562595   -21.426  < 2e-16 ***
DESTIN_GRID_ID1799 -2.1549309  0.0568104   -37.932  < 2e-16 ***
DESTIN_GRID_ID1800 -4.2746295  0.0860412   -49.681  < 2e-16 ***
DESTIN_GRID_ID1811 -1.0475386  0.0566801   -18.482  < 2e-16 ***
DESTIN_GRID_ID1812  0.3922897  0.0560973     6.993 2.69e-12 ***
DESTIN_GRID_ID1813  0.6243079  0.0560853    11.131  < 2e-16 ***
DESTIN_GRID_ID1817 -2.6948241  0.0577279   -46.682  < 2e-16 ***
DESTIN_GRID_ID1818 -1.5981506  0.0563241   -28.374  < 2e-16 ***
DESTIN_GRID_ID1819  0.0718732  0.0560818     1.282 0.199991    
DESTIN_GRID_ID1820 -4.6197072  0.0758115   -60.937  < 2e-16 ***
DESTIN_GRID_ID1832  0.1675440  0.0561951     2.981 0.002869 ** 
DESTIN_GRID_ID1833 -1.0867842  0.0565082   -19.232  < 2e-16 ***
DESTIN_GRID_ID1834 -1.0689217  0.0564308   -18.942  < 2e-16 ***
DESTIN_GRID_ID1835 -0.9778157  0.0565358   -17.296  < 2e-16 ***
DESTIN_GRID_ID1837 -1.1163099  0.0577606   -19.326  < 2e-16 ***
DESTIN_GRID_ID1839 -2.7673061  0.0576565   -47.996  < 2e-16 ***
DESTIN_GRID_ID1840  0.1471406  0.0560921     2.623 0.008711 ** 
DESTIN_GRID_ID1841 -3.7587706  0.0627645   -59.887  < 2e-16 ***
DESTIN_GRID_ID1842 -1.2432046  0.0589115   -21.103  < 2e-16 ***
DESTIN_GRID_ID1853 -0.5717510  0.0563132   -10.153  < 2e-16 ***
DESTIN_GRID_ID1854 -0.4088075  0.0562607    -7.266 3.69e-13 ***
DESTIN_GRID_ID1855 -0.0113741  0.0561901    -0.202 0.839587    
DESTIN_GRID_ID1858  0.0502997  0.0566260     0.888 0.374390    
DESTIN_GRID_ID1860 -2.1217277  0.0602295   -35.227  < 2e-16 ***
DESTIN_GRID_ID1861 -1.3858610  0.0563437   -24.597  < 2e-16 ***
DESTIN_GRID_ID1874 -1.0793397  0.0569939   -18.938  < 2e-16 ***
DESTIN_GRID_ID1875 -2.8509106  0.0608781   -46.830  < 2e-16 ***
DESTIN_GRID_ID1876 -1.5256142  0.0612445   -24.910  < 2e-16 ***
DESTIN_GRID_ID1877 -0.2232308  0.0562275    -3.970 7.18e-05 ***
DESTIN_GRID_ID1880 -0.8757156  0.0577693   -15.159  < 2e-16 ***
DESTIN_GRID_ID1882 -1.4785871  0.0563973   -26.217  < 2e-16 ***
DESTIN_GRID_ID1883 -2.5932751  0.0600904   -43.156  < 2e-16 ***
DESTIN_GRID_ID1895 -0.1066315  0.0562327    -1.896 0.057927 .  
DESTIN_GRID_ID1896 -1.2392651  0.0565836   -21.901  < 2e-16 ***
DESTIN_GRID_ID1897 -2.0756001  0.0575081   -36.092  < 2e-16 ***
DESTIN_GRID_ID1898 -2.4207353  0.0615845   -39.308  < 2e-16 ***
DESTIN_GRID_ID1901 -1.3999493  0.0596244   -23.479  < 2e-16 ***
DESTIN_GRID_ID1903 -3.0290635  0.0592728   -51.104  < 2e-16 ***
DESTIN_GRID_ID1917 -1.4512488  0.0568569   -25.525  < 2e-16 ***
DESTIN_GRID_ID1918 -0.2346805  0.0564188    -4.160 3.19e-05 ***
DESTIN_GRID_ID1919 -0.1072727  0.0562055    -1.909 0.056316 .  
DESTIN_GRID_ID1922 -0.1693550  0.0570044    -2.971 0.002969 ** 
DESTIN_GRID_ID1924 -3.2691626  0.0608952   -53.685  < 2e-16 ***
DESTIN_GRID_ID1937 -0.7622392  0.0565472   -13.480  < 2e-16 ***
DESTIN_GRID_ID1938 -0.0119748  0.0561889    -0.213 0.831235    
DESTIN_GRID_ID1939 -1.2954584  0.0567809   -22.815  < 2e-16 ***
DESTIN_GRID_ID1942 -1.5250117  0.0591855   -25.767  < 2e-16 ***
DESTIN_GRID_ID1959 -1.2594006  0.0569348   -22.120  < 2e-16 ***
DESTIN_GRID_ID1960  1.0937212  0.0560467    19.514  < 2e-16 ***
DESTIN_GRID_ID1961 -1.4157914  0.0569178   -24.874  < 2e-16 ***
DESTIN_GRID_ID1962 -0.5984494  0.0563450   -10.621  < 2e-16 ***
DESTIN_GRID_ID1964  0.1134006  0.0571542     1.984 0.047243 *  
DESTIN_GRID_ID1979 -0.7288324  0.0566397   -12.868  < 2e-16 ***
DESTIN_GRID_ID1980 -1.0381197  0.0564475   -18.391  < 2e-16 ***
DESTIN_GRID_ID1981 -1.0879885  0.0565038   -19.255  < 2e-16 ***
DESTIN_GRID_ID1982 -0.5936218  0.0565709   -10.493  < 2e-16 ***
DESTIN_GRID_ID1983 -0.7389921  0.0563621   -13.112  < 2e-16 ***
DESTIN_GRID_ID1984 -0.5623766  0.0563458    -9.981  < 2e-16 ***
DESTIN_GRID_ID1985 -0.4389630  0.0563042    -7.796 6.38e-15 ***
DESTIN_GRID_ID2001 -0.7481273  0.0564258   -13.259  < 2e-16 ***
DESTIN_GRID_ID2002 -0.7492732  0.0562721   -13.315  < 2e-16 ***
DESTIN_GRID_ID2003 -0.0873263  0.0561801    -1.554 0.120089    
DESTIN_GRID_ID2004  0.0697541  0.0561713     1.242 0.214306    
DESTIN_GRID_ID2005 -0.9197202  0.0564123   -16.304  < 2e-16 ***
DESTIN_GRID_ID2006 -0.0104534  0.0562035    -0.186 0.852451    
DESTIN_GRID_ID2007 -3.4441174  0.0650397   -52.954  < 2e-16 ***
DESTIN_GRID_ID2022 -0.2338603  0.0564259    -4.145 3.40e-05 ***
DESTIN_GRID_ID2023 -0.2304211  0.0562072    -4.099 4.14e-05 ***
DESTIN_GRID_ID2024  0.0976138  0.0561372     1.739 0.082063 .  
DESTIN_GRID_ID2025 -1.3101090  0.0564568   -23.206  < 2e-16 ***
DESTIN_GRID_ID2026 -1.9749643  0.0574442   -34.381  < 2e-16 ***
DESTIN_GRID_ID2027  0.0891515  0.0561739     1.587 0.112499    
DESTIN_GRID_ID2043 -1.6861358  0.0573793   -29.386  < 2e-16 ***
DESTIN_GRID_ID2044 -0.7337338  0.0563425   -13.023  < 2e-16 ***
DESTIN_GRID_ID2045 -1.3408030  0.0573684   -23.372  < 2e-16 ***
DESTIN_GRID_ID2046  0.0187825  0.0561231     0.335 0.737877    
DESTIN_GRID_ID2047 -1.9039512  0.0569349   -33.441  < 2e-16 ***
DESTIN_GRID_ID2048 -1.6254961  0.0567828   -28.627  < 2e-16 ***
DESTIN_GRID_ID2049 -3.3582945  0.0637018   -52.719  < 2e-16 ***
DESTIN_GRID_ID2064 -0.8480949  0.0564989   -15.011  < 2e-16 ***
DESTIN_GRID_ID2065 -0.9750861  0.0564902   -17.261  < 2e-16 ***
DESTIN_GRID_ID2066 -3.3185294  0.0676848   -49.029  < 2e-16 ***
DESTIN_GRID_ID2067  1.5667043  0.0560356    27.959  < 2e-16 ***
DESTIN_GRID_ID2068 -1.9963597  0.0580703   -34.378  < 2e-16 ***
DESTIN_GRID_ID2069 -1.4346733  0.0567772   -25.268  < 2e-16 ***
DESTIN_GRID_ID2085 -0.6534281  0.0565111   -11.563  < 2e-16 ***
DESTIN_GRID_ID2086  0.6584904  0.0561273    11.732  < 2e-16 ***
DESTIN_GRID_ID2087  0.3506632  0.0561446     6.246 4.22e-10 ***
DESTIN_GRID_ID2088 -0.9065527  0.0563219   -16.096  < 2e-16 ***
DESTIN_GRID_ID2089 -1.3845116  0.0567876   -24.381  < 2e-16 ***
DESTIN_GRID_ID2090  1.2607964  0.0560553    22.492  < 2e-16 ***
DESTIN_GRID_ID2091 -4.1374206  0.0905432   -45.696  < 2e-16 ***
DESTIN_GRID_ID2105 -1.5124362  0.0870273   -17.379  < 2e-16 ***
DESTIN_GRID_ID2106 -2.1951697  0.0581592   -37.744  < 2e-16 ***
DESTIN_GRID_ID2107  0.5294521  0.0561292     9.433  < 2e-16 ***
DESTIN_GRID_ID2108  0.1263070  0.0562117     2.247 0.024641 *  
DESTIN_GRID_ID2109 -1.3483624  0.0564675   -23.879  < 2e-16 ***
DESTIN_GRID_ID2110 -2.0081654  0.0573911   -34.991  < 2e-16 ***
DESTIN_GRID_ID2111 -3.1822936  0.0667288   -47.690  < 2e-16 ***
DESTIN_GRID_ID2128 -0.4529754  0.0566547    -7.995 1.29e-15 ***
DESTIN_GRID_ID2129 -0.7835643  0.0570909   -13.725  < 2e-16 ***
DESTIN_GRID_ID2130 -0.7456411  0.0563012   -13.244  < 2e-16 ***
DESTIN_GRID_ID2131 -0.7802824  0.0565358   -13.802  < 2e-16 ***
DESTIN_GRID_ID2132 -1.3589117  0.0566327   -23.995  < 2e-16 ***
DESTIN_GRID_ID2148 -1.3839798  0.0584887   -23.662  < 2e-16 ***
DESTIN_GRID_ID2149 -1.3379985  0.0571894   -23.396  < 2e-16 ***
DESTIN_GRID_ID2150 -1.1433086  0.0567871   -20.133  < 2e-16 ***
DESTIN_GRID_ID2151  0.6902199  0.0560843    12.307  < 2e-16 ***
DESTIN_GRID_ID2152 -0.3675627  0.0562763    -6.531 6.52e-11 ***
DESTIN_GRID_ID2153 -1.6478408  0.0573804   -28.718  < 2e-16 ***
DESTIN_GRID_ID2171 -0.1523148  0.0563143    -2.705 0.006836 ** 
DESTIN_GRID_ID2172 -1.8052824  0.0573168   -31.497  < 2e-16 ***
DESTIN_GRID_ID2173 -1.3511743  0.0565438   -23.896  < 2e-16 ***
DESTIN_GRID_ID2174 -0.6509008  0.0564181   -11.537  < 2e-16 ***
DESTIN_GRID_ID2191  0.0437550  0.0566422     0.772 0.439830    
DESTIN_GRID_ID2192 -1.1665321  0.0571783   -20.402  < 2e-16 ***
DESTIN_GRID_ID2193 -0.4768154  0.0563891    -8.456  < 2e-16 ***
DESTIN_GRID_ID2194 -0.5680463  0.0563224   -10.086  < 2e-16 ***
DESTIN_GRID_ID2195 -2.6276727  0.0695591   -37.776  < 2e-16 ***
DESTIN_GRID_ID2212  0.4014930  0.0577915     6.947 3.72e-12 ***
DESTIN_GRID_ID2213 -0.2647703  0.0567494    -4.666 3.08e-06 ***
DESTIN_GRID_ID2214  0.6348489  0.0565161    11.233  < 2e-16 ***
DESTIN_GRID_ID2215 -1.1729227  0.0569530   -20.595  < 2e-16 ***
DESTIN_GRID_ID2216 -0.2255636  0.0563394    -4.004 6.24e-05 ***
DESTIN_GRID_ID2233  0.5512739  0.0569704     9.676  < 2e-16 ***
DESTIN_GRID_ID2234  1.1621395  0.0566632    20.510  < 2e-16 ***
DESTIN_GRID_ID2235 -0.2252947  0.0568113    -3.966 7.32e-05 ***
DESTIN_GRID_ID2236 -1.6739852  0.0577475   -28.988  < 2e-16 ***
DESTIN_GRID_ID2237 -0.1495642  0.0572526    -2.612 0.008992 ** 
DESTIN_GRID_ID2256  0.0212296  0.0574726     0.369 0.711840    
DESTIN_GRID_ID2257 -2.5416784  0.0633055   -40.149  < 2e-16 ***
DESTIN_GRID_ID2258 -0.4015255  0.0564958    -7.107 1.18e-12 ***
DESTIN_GRID_ID2259  0.6374950  0.0570198    11.180  < 2e-16 ***
DESTIN_GRID_ID2277 -1.2082516  0.0620227   -19.481  < 2e-16 ***
DESTIN_GRID_ID2278 -1.0360868  0.0586796   -17.657  < 2e-16 ***
DESTIN_GRID_ID2279 -0.2085146  0.0565187    -3.689 0.000225 ***
DESTIN_GRID_ID2280 -1.5563420  0.0658196   -23.646  < 2e-16 ***
DESTIN_GRID_ID2297 -1.5061469  0.0597708   -25.199  < 2e-16 ***
DESTIN_GRID_ID2300 -1.1987914  0.0598418   -20.033  < 2e-16 ***
DESTIN_GRID_ID2301 -0.5071311  0.0569148    -8.910  < 2e-16 ***
DESTIN_GRID_ID2318  0.8686788  0.0562938    15.431  < 2e-16 ***
DESTIN_GRID_ID2319  0.7954837  0.0562803    14.134  < 2e-16 ***
DESTIN_GRID_ID2322 -0.2244376  0.0569076    -3.944 8.02e-05 ***
DESTIN_GRID_ID2337  0.1722194  0.0597643     2.882 0.003956 ** 
DESTIN_GRID_ID2341  1.0199551  0.0562668    18.127  < 2e-16 ***
DESTIN_GRID_ID2343 -1.0868948  0.0577983   -18.805  < 2e-16 ***
DESTIN_GRID_ID2361 -0.2378373  0.0568768    -4.182 2.89e-05 ***
DESTIN_GRID_ID2364 -2.3162596  0.0667992   -34.675  < 2e-16 ***
DESTIN_GRID_ID2379 -1.0532866  0.0631078   -16.690  < 2e-16 ***
DESTIN_GRID_ID2384  0.8531988  0.0564276    15.120  < 2e-16 ***
DESTIN_GRID_ID2405  1.6260788  0.0562223    28.922  < 2e-16 ***
DESTIN_GRID_ID2406 -1.4069536  0.0610479   -23.047  < 2e-16 ***
DESTIN_GRID_ID2426  1.0528202  0.0571502    18.422  < 2e-16 ***
DESTIN_GRID_ID2427  1.3156822  0.0564320    23.314  < 2e-16 ***
DESTIN_GRID_ID2505  0.7690332  0.0596973    12.882  < 2e-16 ***
log(dist)          -1.5884907  0.0003226 -4924.472  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 81514190  on 62119  degrees of freedom
Residual deviance: 20866989  on 60485  degrees of freedom
AIC: 21205631

Number of Fisher Scoring iterations: 10

Model Comparison

In this section we will use the compare_performance() of performance package to compare the root mean square error of the four SIMs. The smaller the values of RMSE , the better the model.

First of all, let us create a list called model_list by using the code chunk below. It contains all our fitted models for all four variations of gravity model.

model_list <- list(unconstrained=uncSIM,
                   originConstrained=orcSIM,
                   destinationConstrained=decSIM,
                   doublyConstrained=dbcSIM)

The output below reveals that doubly constrained SIM is the best model among all the four SIMs because it has the smallest RMSE value of 1026.

compare_performance(model_list,
                    metrics = "RMSE")
# Comparison of Model Performance Indices

Name                   | Model |     RMSE
-----------------------------------------
unconstrained          |   glm | 1393.543
originConstrained      |   glm | 1263.861
destinationConstrained |   glm | 1271.507
doublyConstrained      |   glm | 1026.398

Visualising the fitted values

The function below will save the fitted values as a dataframe and append that column of fitted values to the flow_data1 df. We will append all the fitted values of all the four SIMs.

process_fitted_values <- function(data, fitted_values, new_column_name) {
  df <- as.data.frame(fitted_values) %>%
    round(digits = 0)

  data <- data %>%
    cbind(df) %>%
    rename({{ new_column_name }} := fitted_values)

  return(data)
}
flow_data1 <- process_fitted_values(flow_data1, uncSIM$fitted.values, "uncTRIPS")
flow_data1 <- process_fitted_values(flow_data1, orcSIM$fitted.values, "orcTRIPS")
flow_data1 <- process_fitted_values(flow_data1, decSIM$fitted.values, "decTRIPS")
flow_data1 <- process_fitted_values(flow_data1, dbcSIM$fitted.values, "dbcTRIPS")

Using the ggarragne() function of the ggpurpackage, we will now print the ‘actual vs predicted’ plots side-by-side.

Show the code
unc_p <- ggplot(data = flow_data1,
                aes(x = uncTRIPS,
                    y = TRIPS)) +
  geom_point(size = 0.5) +
  geom_smooth(method = lm)

orc_p <- ggplot(data = flow_data1,
                aes(x = orcTRIPS,
                    y = TRIPS)) +
  geom_point(size = 0.5) +
  geom_smooth(method = lm)

dec_p <- ggplot(data = flow_data1,
                aes(x = decTRIPS,
                    y = TRIPS)) +
  geom_point(size = 0.5) +
  geom_smooth(method = lm)

dbc_p <- ggplot(data = flow_data1,
                aes(x = dbcTRIPS,
                    y = TRIPS)) +
  geom_point(size = 0.5) +
  geom_smooth(method = lm)



ggarrange(unc_p, orc_p, dec_p, dbc_p,
          ncol = 2,
          nrow = 2)

Discussion:

We can see that the points ‘hug’ more closely to the diagonal blue line, which indicates that doubly constrained model is indeed the best model.

Visualising the residual errors

There are many types of residuals in glm() models like Response, Working, Pearson, Deviance residuals for instance. For simplicity, we will work with Response type, which is derived from ‘actual’ - ‘predicted’ values. In this exercise, I would like to calculate ‘Predicted - Actual’ values instead; so that any over-prediction has positive values and under-predicted values will have a negative residual.

We will use the same function written previously to save the residual values as a dataframe and append that column of residual values to the flow_data1 df. We will append all the residual values of all the four SIMs. (If you are confused, the function name should have been changed to process_residual_values instead)

flow_data1 <- process_fitted_values(flow_data1, -resid(uncSIM, type='response'), "uncRES")
flow_data1 <- process_fitted_values(flow_data1, -resid(orcSIM, type='response'), "orcRES")
flow_data1 <- process_fitted_values(flow_data1, -resid(decSIM, type='response'), "decRES")
flow_data1 <- process_fitted_values(flow_data1, -resid(dbcSIM, type='response'), "dbcRES")

Save flow_data1 to local.

write_rds(flow_data1,
          "data/rds/flow_data1.rds")

Convert flow_data1 to a sf Linestring object.

flowLine2 <- od2line(flow=flow_data1,
                    zones= bs_count,
                    zone_code= 'grid_id')

flowLine2 to get a left join with od_data1 in order to append the origin and destination bus stop descriptions for our map’s tooltip function later.

od_data1$ORIGIN_GRID_ID <- as.factor(od_data1$ORIGIN_GRID_ID)
od_data1$DESTIN_GRID_ID <- as.factor(od_data1$DESTIN_GRID_ID)

flowLine2 <- left_join(flowLine2, od_data1,
                      by = c('ORIGIN_GRID_ID' = 'ORIGIN_GRID_ID',
                             'DESTIN_GRID_ID' = 'DESTIN_GRID_ID')) %>% 
  select(-c(MORNING_PEAK))

Save flowLine2 to local

write_rds(flowLine2,
          "data/rds/flowLine2.rds")

Reload flowLine2 into R

flowLine2 <- read_rds('data/rds/flowLine2.rds')

Plot of Residuals against Fitted Values

The charts below allow us to compare the residuals of the four models.

Show the code
unc_rf <- ggplot(data = flow_data1,
                aes(x = uncTRIPS,
                    y = uncRES)) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")


orc_rf <- ggplot(data = flow_data1,
                aes(x = orcTRIPS,
                    y = orcRES)) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")

dec_rf <- ggplot(data = flow_data1,
                aes(x = decTRIPS,
                    y = decRES)) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")

dbc_rf <- ggplot(data = flow_data1,
                aes(x = dbcTRIPS,
                    y = dbcRES)) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")


ggarrange(unc_rf, orc_rf, dec_rf, dbc_rf,
          ncol = 2,
          nrow = 2)

All four models produces under-predicted (below X-axis) and over-predicted above X-axis) values. The unconstrained and origin-constrained model (top left) produces greater magnitude of under-predicted errors . The maximum number of actual trips is 75,364 and yet the unconstrained model produces only a maximum of about 15k trips.

Coordinated Plot: Residuals against Fitted Values

Using the highlight() and subplot() functions of the plotly package, we print the ‘residual vs predicted’ coordinated plots side-by-side. Clicking on any point in one of the chart will highlight the same point in the other three maps.

Since the best model is doubly-constrained, we filter to retain only the data points with over-predicted trips of above 20,00 and under-predicted trips of -20,000.

We will use these coordinated charts to identify flows that are consistently radically over and under predicted.

Map Tips: Hover mouse over any points to reveal tool tip that contains predicted value, residuals (predicted - actual) and origin / destination bus-stop descriptions.

Show the code
library(plotly)

d <- highlight_key(flowLine2 %>% 
                     filter(dbcRES<= -20000 | dbcRES >= 20000))

unc_rf <- ggplot(data = d,
                aes(x = uncTRIPS,
                    y = uncRES,
                    text = paste("Origin: ", ORIGIN_DESC, "<br>Destin: ", DESTIN_DESC))) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")



orc_rf <- ggplot(data = d,
                aes(x = orcTRIPS,
                    y = orcRES,
                    text = paste("Origin: ", ORIGIN_DESC, "<br>Destin: ", DESTIN_DESC))) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")



dec_rf <- ggplot(data = d,
                aes(x = decTRIPS,
                    y = decRES,
                    text = paste("Origin: ", ORIGIN_DESC, "<br>Destin: ", DESTIN_DESC))) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")



dbc_rf <- ggplot(data = d,
                aes(x = dbcTRIPS,
                    y = dbcRES,
                    text = paste("Origin: ", ORIGIN_DESC, "<br>Destin: ", DESTIN_DESC))) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")


subplot(ggplotly(unc_rf),
        ggplotly(orc_rf),
        ggplotly(dec_rf),
        ggplotly(dbc_rf),
        nrows = 2,
        titleY = TRUE, 
        titleX = TRUE, 
        margin = 0.1)

Flows that are consistently largely under-predicted in all four models:

Woodlands checkpoint to Woodlands Bus interchange

Woodlands checkpoint to Kranji MRT station

*It appears that trips related to bus stops near the Woodlands Checkpoint tend to be poorly predicted.

Flows that are consistently largely over-predicted in DEC and DBC models:

Woodlands Train to Woodlands Checkpoint

Other interesting Observations:

Flow from Boon Lay MRT to Pioneer MRT station is badly over-predicted in our best model but predicted rather well in all the other 3 models.

Flows from residential Woodlands/ Punggol to Woodlands Bus interchange. Punggol station are also badly over-predicted in our best model but predicted rather well in all the other 3 models.

Visualising the predicted errors flows

Only flows with under-predicted values of more than 30,000 and over-predicted values of above 10,000 are visualised on the maps.

Red-yellowish lines represents under-predicted flows while blue lines represents over-predicted flows.

Map Tips: Clicking on a flow line will reveal tooltip containing predicted trips, residuals, origin/destination bus stop descriptions and the distance of the route.

Note: Static trellis plots are available after all the interactive maps below.

Unconstrained Model

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine2 %>%
  filter(uncRES >=10000 | uncRES <= -30000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

unc <- tm_shape(mpsz) +
  tm_polygons(alpha=0.3,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.3) +
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(col = 'uncRES',
           lwd = 5,
           style = 'fixed',
           breaks = c(-68000,-40000,-20000,0,20000,40000, 60000, 76000),
           #scale= c(0.3, 3, 9, 15, 21, 30),
           palette = 'RdYlBu',
           n = 6,
           alpha= 0.9,
           popup.vars=c("# Actual Trips:"="TRIPS",
                        "# Predicted Trips:" = "uncTRIPS",
                        "Error:" = "uncRES",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist')) +
           #col='blue') +
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'Residuals of O-D Flow for Unconstrained SIM' ,
            main.title.size = 1.0,
            main.title.fontface = 'bold')
unc
Show the code
tmap_mode('plot')

Origin-Constrained Model

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine2 %>%
  filter(orcRES >=10000 | orcRES <= -30000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

orc<- tm_shape(mpsz) +
  tm_polygons(alpha=0.3,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.3) +
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(col = 'orcRES',
           lwd = 5,
           style = 'fixed',
           breaks = c(-68000,-40000,-20000,0,20000,40000, 60000, 76000),
           #scale= c(0.3, 3, 9, 15, 21, 30),
           palette = 'RdYlBu',
           n = 6,
           alpha= 0.9,
           popup.vars=c("# Actual Trips:"="TRIPS",
                        "# Predicted Trips:" = "orcTRIPS",
                        "Error:" = "orcRES",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist')) +
           
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'Residuals of O-D Flow for Origin Constrained SIM',
            main.title.size = 1.0,
            main.title.fontface = 'bold')


orc
Show the code
tmap_mode('plot')

Destination-Constrained Model

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine2 %>%
  filter(decRES >=10000 | decRES <= -30000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

dec <- tm_shape(mpsz) +
  tm_polygons(alpha=0.3,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.3,) +
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(col = 'decRES',
           lwd = 5,
           style = 'fixed',
           breaks = c(-68000,-40000,-20000,0,20000,40000, 60000, 76000),
           #scale= c(0.3, 3, 9, 15, 21, 30),
           palette = 'RdYlBu',
           n = 6,
           alpha= 0.9,
           popup.vars=c("# Actual Trips:"="TRIPS",
                        "# Predicted Trips:" = "decTRIPS",
                        "Error:" = "decRES",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist')) +
           
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'Residuals of O-D Flow for Destination Constrained SIM' ,
            main.title.size = 1.0,
            main.title.fontface = 'bold')
dec
Show the code
tmap_mode('plot')

Doubly-Constrained Model

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine2 %>%
  filter(dbcRES >=10000 | dbcRES <= -30000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

dbc<- tm_shape(mpsz) +
  tm_polygons(alpha=0.3,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.3) +
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(col = 'dbcRES',
           lwd = 5,
           style = 'fixed',
           breaks = c(-68000,-40000,-20000,0,20000,40000, 60000, 76000),
           #scale= c(0.3, 3, 9, 15, 21, 30),
           palette = 'RdYlBu',
           n = 6,
           alpha= 0.9,
           popup.vars=c("# Actual Trips:"="TRIPS",
                        "# Predicted Trips:" = "dbcTRIPS",
                        "Error:" = "dbcRES",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist')) +
           
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'Residuals of O-D Flow for Doubly Constrained SIM',
            main.title.size = 1.0,
            main.title.fontface = 'bold')
dbc
Show the code
tmap_mode('plot')

We will plot the residual maps side by side for easy comparison.

Show the code
tmap_mode('plot')

tmap_arrange(unc,
             orc,
             dec,
             dbc,
             asp=2,
             nrow=2,
             ncol=2)

Discussion:

At one glance, the unconstrained model tend to under-predict the number of trips than over-predict. The doubly constrained model tend to over-predict the number of trips than to under-predict.

Across all the four models, common regions with high errors in predictions were Woodlands Check Point area, Yishun/Khatib interchange area, Chua Chu Kang interchange area and Boon Lay interchange area.

Removing the Outliers

In our best performing model (Doubly-Constrained), the flow trips that had the highest error in prediction were associated with areas near the Woodlands Checkpoint.

What if we remove the observations that are close to the Woodlands Checkpoint? Will our model improve?

Two observations to remove:

  1. Origin_grid_id: 1004 to destin_grid_id: 1108
  2. Origin_grid_id: 983 to destin_grid_id: 939
dbcSIM_remove <- glm(formula = TRIPS ~ 
                ORIGIN_GRID_ID + 
                DESTIN_GRID_ID + 
                log(dist),
              family = poisson(link = "log"),
              data = flow_data1 %>% 
                filter(!(ORIGIN_GRID_ID == 1004 & DESTIN_GRID_ID == 1108) &
         !(ORIGIN_GRID_ID == 983 & DESTIN_GRID_ID == 939)),
              na.action = na.exclude)

Write dbcSM_remove to local

write_rds(dbcSIM_remove,
          "data/rds/dbcSIM_remove.rds")

Read dbcSIM_remove back to R

dbcSIM_remove <- read_rds('data/rds/dbcSIM_remove.rds')

As compared to the original model, removing the outliers improved the model R-squared value from 0.59 to 0.61.

CalcRSquared(dbcSIM_remove$data$TRIPS, dbcSIM_remove$fitted.values)
[1] 0.6069049

The coefficient of the distance variable is -1.59

dbcSIM_remove$coefficients[1635]
log(dist) 
-1.586743 
summary(dbcSIM_remove)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + DESTIN_GRID_ID + log(dist), 
    family = poisson(link = "log"), data = flow_data1 %>% filter(!(ORIGIN_GRID_ID == 
        1004 & DESTIN_GRID_ID == 1108) & !(ORIGIN_GRID_ID == 
        983 & DESTIN_GRID_ID == 939)), na.action = na.exclude)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-180.66    -8.93    -3.07     2.56   376.05  

Coefficients:
                     Estimate Std. Error   z value Pr(>|z|)    
(Intercept)        14.4851688  0.1405216   103.081  < 2e-16 ***
ORIGIN_GRID_ID44    1.7042690  0.2004169     8.504  < 2e-16 ***
ORIGIN_GRID_ID46   -0.1462804  0.1618165    -0.904 0.366001    
ORIGIN_GRID_ID66    1.4068935  0.1872662     7.513 5.79e-14 ***
ORIGIN_GRID_ID67    1.7862933  0.1317501    13.558  < 2e-16 ***
ORIGIN_GRID_ID68   -0.6449665  0.1733046    -3.722 0.000198 ***
ORIGIN_GRID_ID86   -0.4793448  0.1543778    -3.105 0.001903 ** 
ORIGIN_GRID_ID87    3.3450057  0.1505741    22.215  < 2e-16 ***
ORIGIN_GRID_ID88    2.3747505  0.1304746    18.201  < 2e-16 ***
ORIGIN_GRID_ID89    0.2012068  0.1389288     1.448 0.147541    
ORIGIN_GRID_ID90    0.9105632  0.1837073     4.957 7.17e-07 ***
ORIGIN_GRID_ID109   0.3375324  0.1681129     2.008 0.044667 *  
ORIGIN_GRID_ID110   0.5219570  0.1528279     3.415 0.000637 ***
ORIGIN_GRID_ID111   3.9126524  0.1300236    30.092  < 2e-16 ***
ORIGIN_GRID_ID112   0.1038876  0.1479771     0.702 0.482647    
ORIGIN_GRID_ID128   3.0502214  0.1328288    22.964  < 2e-16 ***
ORIGIN_GRID_ID129   0.3431695  0.2294032     1.496 0.134674    
ORIGIN_GRID_ID130   1.2642173  0.1413170     8.946  < 2e-16 ***
ORIGIN_GRID_ID131   1.8831640  0.1337198    14.083  < 2e-16 ***
ORIGIN_GRID_ID132   0.1685481  0.1412602     1.193 0.232801    
ORIGIN_GRID_ID133   1.0800741  0.1360612     7.938 2.05e-15 ***
ORIGIN_GRID_ID134   4.1178521  0.1328192    31.003  < 2e-16 ***
ORIGIN_GRID_ID150   4.1713164  0.1311405    31.808  < 2e-16 ***
ORIGIN_GRID_ID151   0.4327168  0.1535196     2.819 0.004823 ** 
ORIGIN_GRID_ID152   0.2181208  0.1561837     1.397 0.162544    
ORIGIN_GRID_ID153   1.4518070  0.1371663    10.584  < 2e-16 ***
ORIGIN_GRID_ID154   4.1298155  0.1295130    31.887  < 2e-16 ***
ORIGIN_GRID_ID155   0.9748594  0.1351603     7.213 5.49e-13 ***
ORIGIN_GRID_ID156   1.6910707  0.1406765    12.021  < 2e-16 ***
ORIGIN_GRID_ID172   2.3071599  0.1458947    15.814  < 2e-16 ***
ORIGIN_GRID_ID174   1.1013765  0.1381923     7.970 1.59e-15 ***
ORIGIN_GRID_ID175   3.8098295  0.1298065    29.350  < 2e-16 ***
ORIGIN_GRID_ID176   4.8283574  0.1293887    37.317  < 2e-16 ***
ORIGIN_GRID_ID195  -0.0893865  0.1564885    -0.571 0.567863    
ORIGIN_GRID_ID196   0.9031450  0.1363298     6.625 3.48e-11 ***
ORIGIN_GRID_ID197   0.0761665  0.1861093     0.409 0.682351    
ORIGIN_GRID_ID215   1.4484262  0.1628878     8.892  < 2e-16 ***
ORIGIN_GRID_ID216   5.2406306  0.1295160    40.463  < 2e-16 ***
ORIGIN_GRID_ID217   2.3675510  0.1312747    18.035  < 2e-16 ***
ORIGIN_GRID_ID237   0.4354765  0.3281537     1.327 0.184492    
ORIGIN_GRID_ID238   0.8396669  0.1502045     5.590 2.27e-08 ***
ORIGIN_GRID_ID239   1.1049924  0.1939422     5.698 1.22e-08 ***
ORIGIN_GRID_ID257   0.2022865  0.1438869     1.406 0.159762    
ORIGIN_GRID_ID258   2.2490149  0.1326431    16.955  < 2e-16 ***
ORIGIN_GRID_ID259   1.4801500  0.1358433    10.896  < 2e-16 ***
ORIGIN_GRID_ID278   1.6235026  0.1350935    12.018  < 2e-16 ***
ORIGIN_GRID_ID279   0.4196415  0.1383956     3.032 0.002428 ** 
ORIGIN_GRID_ID280   0.9458034  0.1389417     6.807 9.95e-12 ***
ORIGIN_GRID_ID298  -3.1158855  0.3996755    -7.796 6.39e-15 ***
ORIGIN_GRID_ID299   0.1406697  0.1426886     0.986 0.324206    
ORIGIN_GRID_ID300   4.1776917  0.1297131    32.207  < 2e-16 ***
ORIGIN_GRID_ID320  -0.2674464  0.1396198    -1.916 0.055424 .  
ORIGIN_GRID_ID321   0.8241703  0.1524896     5.405 6.49e-08 ***
ORIGIN_GRID_ID322   2.5808389  0.1357701    19.009  < 2e-16 ***
ORIGIN_GRID_ID340   1.9851739  0.1332481    14.898  < 2e-16 ***
ORIGIN_GRID_ID341  -0.1172620  0.1389908    -0.844 0.398855    
ORIGIN_GRID_ID342   2.0000073  0.1363825    14.665  < 2e-16 ***
ORIGIN_GRID_ID363   1.5851687  0.1356107    11.689  < 2e-16 ***
ORIGIN_GRID_ID364   2.1529743  0.1323656    16.265  < 2e-16 ***
ORIGIN_GRID_ID383   1.0470217  0.1338321     7.823 5.14e-15 ***
ORIGIN_GRID_ID384   0.5093183  0.1397405     3.645 0.000268 ***
ORIGIN_GRID_ID385   0.8800890  0.1471796     5.980 2.24e-09 ***
ORIGIN_GRID_ID404   2.1435420  0.1331731    16.096  < 2e-16 ***
ORIGIN_GRID_ID405   0.5432050  0.1412116     3.847 0.000120 ***
ORIGIN_GRID_ID406   5.9897364  0.1294235    46.280  < 2e-16 ***
ORIGIN_GRID_ID407   1.9633825  0.1387013    14.155  < 2e-16 ***
ORIGIN_GRID_ID408   2.7033241  0.1319538    20.487  < 2e-16 ***
ORIGIN_GRID_ID425  -0.6399213  0.1660369    -3.854 0.000116 ***
ORIGIN_GRID_ID426   1.4875662  0.1331494    11.172  < 2e-16 ***
ORIGIN_GRID_ID427   0.6572721  0.1382622     4.754 2.00e-06 ***
ORIGIN_GRID_ID428   0.1281629  0.1799589     0.712 0.476354    
ORIGIN_GRID_ID429   2.3300062  0.1312831    17.748  < 2e-16 ***
ORIGIN_GRID_ID446   0.9475340  0.1481068     6.398 1.58e-10 ***
ORIGIN_GRID_ID447   0.9099612  0.1358647     6.698 2.12e-11 ***
ORIGIN_GRID_ID448   1.9578928  0.1324686    14.780  < 2e-16 ***
ORIGIN_GRID_ID449   5.1761170  0.1296025    39.938  < 2e-16 ***
ORIGIN_GRID_ID450   2.1369124  0.1311199    16.297  < 2e-16 ***
ORIGIN_GRID_ID468   1.8100091  0.1335909    13.549  < 2e-16 ***
ORIGIN_GRID_ID469   3.1359641  0.1303693    24.054  < 2e-16 ***
ORIGIN_GRID_ID470   5.2251456  0.1295369    40.337  < 2e-16 ***
ORIGIN_GRID_ID471   3.0044294  0.1306834    22.990  < 2e-16 ***
ORIGIN_GRID_ID488   0.6480648  0.1425120     4.547 5.43e-06 ***
ORIGIN_GRID_ID489  -1.0684302  0.2130475    -5.015 5.30e-07 ***
ORIGIN_GRID_ID490   3.6266973  0.1300427    27.889  < 2e-16 ***
ORIGIN_GRID_ID491   4.1323310  0.1296861    31.864  < 2e-16 ***
ORIGIN_GRID_ID493  -1.6322021  0.2537613    -6.432 1.26e-10 ***
ORIGIN_GRID_ID494   0.7416704  0.1520352     4.878 1.07e-06 ***
ORIGIN_GRID_ID509   0.6662404  0.1352715     4.925 8.43e-07 ***
ORIGIN_GRID_ID510   1.4545165  0.1322838    10.995  < 2e-16 ***
ORIGIN_GRID_ID511   3.0352610  0.1299473    23.358  < 2e-16 ***
ORIGIN_GRID_ID512   5.7557255  0.1294768    44.454  < 2e-16 ***
ORIGIN_GRID_ID513   2.1626273  0.1324006    16.334  < 2e-16 ***
ORIGIN_GRID_ID514   1.4054005  0.1410063     9.967  < 2e-16 ***
ORIGIN_GRID_ID515   0.0044531  0.2585998     0.017 0.986261    
ORIGIN_GRID_ID530  -0.2664372  0.1580700    -1.686 0.091880 .  
ORIGIN_GRID_ID531   1.9443853  0.1311488    14.826  < 2e-16 ***
ORIGIN_GRID_ID532   1.3532474  0.1322661    10.231  < 2e-16 ***
ORIGIN_GRID_ID533   5.4233587  0.1294776    41.886  < 2e-16 ***
ORIGIN_GRID_ID534   6.0452672  0.1294907    46.685  < 2e-16 ***
ORIGIN_GRID_ID536   2.7686225  0.1323674    20.916  < 2e-16 ***
ORIGIN_GRID_ID537   0.4137729  0.2322740     1.781 0.074847 .  
ORIGIN_GRID_ID538   0.3389666  0.2888666     1.173 0.240621    
ORIGIN_GRID_ID539   0.1664552  1.0089948     0.165 0.868967    
ORIGIN_GRID_ID551  -0.2247226  0.1415154    -1.588 0.112292    
ORIGIN_GRID_ID552   2.2504435  0.1349746    16.673  < 2e-16 ***
ORIGIN_GRID_ID553   1.8139980  0.1308029    13.868  < 2e-16 ***
ORIGIN_GRID_ID554   5.3590459  0.1294853    41.387  < 2e-16 ***
ORIGIN_GRID_ID555   4.6237852  0.1296842    35.654  < 2e-16 ***
ORIGIN_GRID_ID559   1.1629843  0.1680255     6.921 4.47e-12 ***
ORIGIN_GRID_ID560   3.2805615  0.1414605    23.191  < 2e-16 ***
ORIGIN_GRID_ID561  -1.3513588  1.0097288    -1.338 0.180786    
ORIGIN_GRID_ID572  -2.5364914  0.5919853    -4.285 1.83e-05 ***
ORIGIN_GRID_ID573   0.1285241  0.1380193     0.931 0.351748    
ORIGIN_GRID_ID574   1.7564878  0.1349869    13.012  < 2e-16 ***
ORIGIN_GRID_ID575   6.3859867  0.1294556    49.330  < 2e-16 ***
ORIGIN_GRID_ID576   4.9786003  0.1295429    38.432  < 2e-16 ***
ORIGIN_GRID_ID578   0.3752838  0.1662880     2.257 0.024019 *  
ORIGIN_GRID_ID582   0.6240974  0.1702576     3.666 0.000247 ***
ORIGIN_GRID_ID583   1.5799442  0.5919014     2.669 0.007602 ** 
ORIGIN_GRID_ID584   3.9786995  0.1421284    27.994  < 2e-16 ***
ORIGIN_GRID_ID593   1.3287281  0.1396774     9.513  < 2e-16 ***
ORIGIN_GRID_ID594   1.4016125  0.1322004    10.602  < 2e-16 ***
ORIGIN_GRID_ID595   1.6668730  0.1309918    12.725  < 2e-16 ***
ORIGIN_GRID_ID596   4.7191270  0.1295152    36.437  < 2e-16 ***
ORIGIN_GRID_ID597   2.0049843  0.1432580    13.996  < 2e-16 ***
ORIGIN_GRID_ID603   1.1765515  0.1754624     6.705 2.01e-11 ***
ORIGIN_GRID_ID604   1.6321084  0.2319551     7.036 1.97e-12 ***
ORIGIN_GRID_ID615  -0.0628564  0.1391125    -0.452 0.651385    
ORIGIN_GRID_ID616   1.1269988  0.1336113     8.435  < 2e-16 ***
ORIGIN_GRID_ID617   2.0238620  0.1308870    15.463  < 2e-16 ***
ORIGIN_GRID_ID618   5.4080119  0.1294985    41.761  < 2e-16 ***
ORIGIN_GRID_ID620   2.7656089  0.1334331    20.727  < 2e-16 ***
ORIGIN_GRID_ID637   0.8359611  0.1372363     6.091 1.12e-09 ***
ORIGIN_GRID_ID638   4.8213101  0.1295145    37.226  < 2e-16 ***
ORIGIN_GRID_ID657   2.6618843  0.1306457    20.375  < 2e-16 ***
ORIGIN_GRID_ID658   4.1675648  0.1296165    32.153  < 2e-16 ***
ORIGIN_GRID_ID659   4.3804392  0.1295669    33.808  < 2e-16 ***
ORIGIN_GRID_ID660   5.4588545  0.1294911    42.156  < 2e-16 ***
ORIGIN_GRID_ID662   5.5896333  0.1296745    43.105  < 2e-16 ***
ORIGIN_GRID_ID677   2.5554172  0.1316740    19.407  < 2e-16 ***
ORIGIN_GRID_ID678   0.3585136  0.1388122     2.583 0.009802 ** 
ORIGIN_GRID_ID679   5.3857949  0.1294991    41.589  < 2e-16 ***
ORIGIN_GRID_ID680   5.6443456  0.1294980    43.586  < 2e-16 ***
ORIGIN_GRID_ID681   4.3851455  0.1297494    33.797  < 2e-16 ***
ORIGIN_GRID_ID699   2.0720631  0.1316520    15.739  < 2e-16 ***
ORIGIN_GRID_ID700   4.3733758  0.1296022    33.745  < 2e-16 ***
ORIGIN_GRID_ID701   4.2548348  0.1296051    32.829  < 2e-16 ***
ORIGIN_GRID_ID702   5.3054592  0.1294969    40.970  < 2e-16 ***
ORIGIN_GRID_ID704   2.4183472  0.1339768    18.050  < 2e-16 ***
ORIGIN_GRID_ID722   2.0257863  0.1310918    15.453  < 2e-16 ***
ORIGIN_GRID_ID725   1.9789263  0.1360956    14.541  < 2e-16 ***
ORIGIN_GRID_ID741   2.6340336  0.1305806    20.172  < 2e-16 ***
ORIGIN_GRID_ID743   2.8136057  0.1301539    21.618  < 2e-16 ***
ORIGIN_GRID_ID744   4.8444449  0.1295366    37.398  < 2e-16 ***
ORIGIN_GRID_ID761   2.0727207  0.1330364    15.580  < 2e-16 ***
ORIGIN_GRID_ID762   4.1401003  0.1296723    31.927  < 2e-16 ***
ORIGIN_GRID_ID763   1.2945030  0.1329916     9.734  < 2e-16 ***
ORIGIN_GRID_ID764   5.3636367  0.1294965    41.419  < 2e-16 ***
ORIGIN_GRID_ID765   4.6427605  0.1297427    35.784  < 2e-16 ***
ORIGIN_GRID_ID767   6.4859975  0.1295112    50.081  < 2e-16 ***
ORIGIN_GRID_ID772   1.2299332  0.1532828     8.024 1.02e-15 ***
ORIGIN_GRID_ID784   1.2222998  0.1326000     9.218  < 2e-16 ***
ORIGIN_GRID_ID785   4.5263746  0.1295270    34.945  < 2e-16 ***
ORIGIN_GRID_ID786   4.2351868  0.1296057    32.677  < 2e-16 ***
ORIGIN_GRID_ID787   4.8177140  0.1296767    37.152  < 2e-16 ***
ORIGIN_GRID_ID788   5.6979278  0.1295769    43.973  < 2e-16 ***
ORIGIN_GRID_ID789   4.1359944  0.1299438    31.829  < 2e-16 ***
ORIGIN_GRID_ID803   0.1088503  0.1447709     0.752 0.452123    
ORIGIN_GRID_ID804   5.1630532  0.1295228    39.862  < 2e-16 ***
ORIGIN_GRID_ID805   5.1789070  0.1294963    39.993  < 2e-16 ***
ORIGIN_GRID_ID806   4.8556786  0.1295260    37.488  < 2e-16 ***
ORIGIN_GRID_ID807   5.9000733  0.1295287    45.550  < 2e-16 ***
ORIGIN_GRID_ID808   4.1210651  0.1299677    31.708  < 2e-16 ***
ORIGIN_GRID_ID809   5.8708146  0.1295026    45.334  < 2e-16 ***
ORIGIN_GRID_ID810   5.1117294  0.1296030    39.441  < 2e-16 ***
ORIGIN_GRID_ID814   3.1603081  0.1325869    23.836  < 2e-16 ***
ORIGIN_GRID_ID819   5.0787067  0.1310086    38.766  < 2e-16 ***
ORIGIN_GRID_ID824   1.2190282  0.1361885     8.951  < 2e-16 ***
ORIGIN_GRID_ID826   2.8006823  0.1298986    21.561  < 2e-16 ***
ORIGIN_GRID_ID827   4.8006739  0.1295141    37.067  < 2e-16 ***
ORIGIN_GRID_ID828   5.2133674  0.1295066    40.256  < 2e-16 ***
ORIGIN_GRID_ID829   5.2690361  0.1295391    40.675  < 2e-16 ***
ORIGIN_GRID_ID830   5.5571103  0.1295628    42.891  < 2e-16 ***
ORIGIN_GRID_ID831   6.4120402  0.1294868    49.519  < 2e-16 ***
ORIGIN_GRID_ID832   5.4906985  0.1296488    42.351  < 2e-16 ***
ORIGIN_GRID_ID835   3.1271377  0.1329327    23.524  < 2e-16 ***
ORIGIN_GRID_ID844   0.3063797  0.1512423     2.026 0.042790 *  
ORIGIN_GRID_ID846   4.2129872  0.1295727    32.514  < 2e-16 ***
ORIGIN_GRID_ID847   3.2193608  0.1298728    24.789  < 2e-16 ***
ORIGIN_GRID_ID848   4.5803112  0.1295478    35.356  < 2e-16 ***
ORIGIN_GRID_ID849   3.8340702  0.1297064    29.560  < 2e-16 ***
ORIGIN_GRID_ID850   4.6871562  0.1295853    36.170  < 2e-16 ***
ORIGIN_GRID_ID851   5.2915201  0.1295246    40.853  < 2e-16 ***
ORIGIN_GRID_ID852   4.8278077  0.1296248    37.244  < 2e-16 ***
ORIGIN_GRID_ID853   6.8194009  0.1295344    52.645  < 2e-16 ***
ORIGIN_GRID_ID854   3.4090777  0.1321856    25.790  < 2e-16 ***
ORIGIN_GRID_ID855   1.9750770  0.1373399    14.381  < 2e-16 ***
ORIGIN_GRID_ID856   3.5403417  0.1309488    27.036  < 2e-16 ***
ORIGIN_GRID_ID866   2.1393559  0.1326393    16.129  < 2e-16 ***
ORIGIN_GRID_ID867   3.0548025  0.1300633    23.487  < 2e-16 ***
ORIGIN_GRID_ID868   2.0974047  0.1313001    15.974  < 2e-16 ***
ORIGIN_GRID_ID869   4.9964892  0.1295986    38.554  < 2e-16 ***
ORIGIN_GRID_ID870   5.7588622  0.1294848    44.475  < 2e-16 ***
ORIGIN_GRID_ID871   5.5624375  0.1296062    42.918  < 2e-16 ***
ORIGIN_GRID_ID872   3.4789128  0.1299961    26.762  < 2e-16 ***
ORIGIN_GRID_ID873   3.6944907  0.1299113    28.439  < 2e-16 ***
ORIGIN_GRID_ID874   4.0511601  0.1297293    31.228  < 2e-16 ***
ORIGIN_GRID_ID875   1.0469868  0.1471063     7.117 1.10e-12 ***
ORIGIN_GRID_ID876   2.3582407  0.1333099    17.690  < 2e-16 ***
ORIGIN_GRID_ID877   1.8384423  0.1364880    13.470  < 2e-16 ***
ORIGIN_GRID_ID887   2.4459277  0.1302446    18.779  < 2e-16 ***
ORIGIN_GRID_ID888   3.9106686  0.1296723    30.158  < 2e-16 ***
ORIGIN_GRID_ID889   0.8270070  0.1340917     6.167 6.94e-10 ***
ORIGIN_GRID_ID890   5.2019796  0.1295059    40.168  < 2e-16 ***
ORIGIN_GRID_ID891   3.9257520  0.1299946    30.199  < 2e-16 ***
ORIGIN_GRID_ID893   5.3488335  0.1295173    41.298  < 2e-16 ***
ORIGIN_GRID_ID894   3.5986113  0.1299094    27.701  < 2e-16 ***
ORIGIN_GRID_ID895   3.0998931  0.1304272    23.767  < 2e-16 ***
ORIGIN_GRID_ID896   1.9343061  0.1331909    14.523  < 2e-16 ***
ORIGIN_GRID_ID897   0.4774230  0.1496444     3.190 0.001421 ** 
ORIGIN_GRID_ID898   2.6098283  0.1337418    19.514  < 2e-16 ***
ORIGIN_GRID_ID908   3.9091202  0.1301046    30.046  < 2e-16 ***
ORIGIN_GRID_ID909   3.9174535  0.1295957    30.228  < 2e-16 ***
ORIGIN_GRID_ID910   2.0577157  0.1306055    15.755  < 2e-16 ***
ORIGIN_GRID_ID911   3.3488100  0.1298002    25.800  < 2e-16 ***
ORIGIN_GRID_ID912   4.9284128  0.1295253    38.050  < 2e-16 ***
ORIGIN_GRID_ID915   5.2441385  0.1295293    40.486  < 2e-16 ***
ORIGIN_GRID_ID917   4.8618197  0.1296764    37.492  < 2e-16 ***
ORIGIN_GRID_ID918   1.3902395  0.1360640    10.218  < 2e-16 ***
ORIGIN_GRID_ID919   4.5854532  0.1298136    35.323  < 2e-16 ***
ORIGIN_GRID_ID928   2.7530432  0.1303501    21.120  < 2e-16 ***
ORIGIN_GRID_ID929   4.3481757  0.1295367    33.567  < 2e-16 ***
ORIGIN_GRID_ID930   5.1950357  0.1294879    40.120  < 2e-16 ***
ORIGIN_GRID_ID931   2.1565936  0.1307432    16.495  < 2e-16 ***
ORIGIN_GRID_ID932   2.6809723  0.1307666    20.502  < 2e-16 ***
ORIGIN_GRID_ID933   4.7902806  0.1295861    36.966  < 2e-16 ***
ORIGIN_GRID_ID934   2.2528615  0.1310353    17.193  < 2e-16 ***
ORIGIN_GRID_ID935   6.1154273  0.1294860    47.228  < 2e-16 ***
ORIGIN_GRID_ID938  -1.8821676  0.3061130    -6.149 7.82e-10 ***
ORIGIN_GRID_ID939   5.9605868  0.1295298    46.017  < 2e-16 ***
ORIGIN_GRID_ID940   0.1288967  0.1603344     0.804 0.421441    
ORIGIN_GRID_ID949   2.6098011  0.1302975    20.030  < 2e-16 ***
ORIGIN_GRID_ID950   4.7676115  0.1295574    36.799  < 2e-16 ***
ORIGIN_GRID_ID951   5.6275625  0.1294792    43.463  < 2e-16 ***
ORIGIN_GRID_ID952   2.3365000  0.1313980    17.782  < 2e-16 ***
ORIGIN_GRID_ID953   3.5054548  0.1298611    26.994  < 2e-16 ***
ORIGIN_GRID_ID954   2.3977184  0.1307540    18.338  < 2e-16 ***
ORIGIN_GRID_ID955   4.6630752  0.1295871    35.984  < 2e-16 ***
ORIGIN_GRID_ID956   3.0678892  0.1300363    23.593  < 2e-16 ***
ORIGIN_GRID_ID957   5.2433368  0.1295932    40.460  < 2e-16 ***
ORIGIN_GRID_ID959   1.2035783  0.1401509     8.588  < 2e-16 ***
ORIGIN_GRID_ID961   1.3619896  0.1343235    10.140  < 2e-16 ***
ORIGIN_GRID_ID962   6.2838464  0.1296677    48.461  < 2e-16 ***
ORIGIN_GRID_ID970   3.1724112  0.1297396    24.452  < 2e-16 ***
ORIGIN_GRID_ID971   4.5053460  0.1295122    34.787  < 2e-16 ***
ORIGIN_GRID_ID972   4.4471628  0.1295414    34.330  < 2e-16 ***
ORIGIN_GRID_ID974   4.0490280  0.1296875    31.221  < 2e-16 ***
ORIGIN_GRID_ID975   3.7080718  0.1297934    28.569  < 2e-16 ***
ORIGIN_GRID_ID976   2.4522316  0.1306273    18.773  < 2e-16 ***
ORIGIN_GRID_ID977   5.6219181  0.1295075    43.410  < 2e-16 ***
ORIGIN_GRID_ID978   5.5323372  0.1296544    42.670  < 2e-16 ***
ORIGIN_GRID_ID982   2.3647030  0.1305589    18.112  < 2e-16 ***
ORIGIN_GRID_ID983   5.9947291  0.1296498    46.238  < 2e-16 ***
ORIGIN_GRID_ID984   7.4835486  0.1296271    57.731  < 2e-16 ***
ORIGIN_GRID_ID991   3.1530240  0.1298266    24.286  < 2e-16 ***
ORIGIN_GRID_ID992   3.5226254  0.1296557    27.169  < 2e-16 ***
ORIGIN_GRID_ID993   3.2081875  0.1297052    24.734  < 2e-16 ***
ORIGIN_GRID_ID994   2.7597564  0.1299994    21.229  < 2e-16 ***
ORIGIN_GRID_ID995   4.2447409  0.1295870    32.756  < 2e-16 ***
ORIGIN_GRID_ID996   3.9438149  0.1297109    30.405  < 2e-16 ***
ORIGIN_GRID_ID997   2.6945140  0.1328951    20.275  < 2e-16 ***
ORIGIN_GRID_ID998   5.7343459  0.1295125    44.276  < 2e-16 ***
ORIGIN_GRID_ID999   5.7129901  0.1295902    44.085  < 2e-16 ***
ORIGIN_GRID_ID1001  2.5989801  0.1320699    19.679  < 2e-16 ***
ORIGIN_GRID_ID1003  5.2878687  0.1295367    40.821  < 2e-16 ***
ORIGIN_GRID_ID1004  5.3343842  0.1295416    41.179  < 2e-16 ***
ORIGIN_GRID_ID1011  1.3692100  0.1339558    10.221  < 2e-16 ***
ORIGIN_GRID_ID1012  0.9496278  0.1360473     6.980 2.95e-12 ***
ORIGIN_GRID_ID1013  1.8422298  0.1308414    14.080  < 2e-16 ***
ORIGIN_GRID_ID1014  2.7426746  0.1299994    21.098  < 2e-16 ***
ORIGIN_GRID_ID1015  2.0425554  0.1308071    15.615  < 2e-16 ***
ORIGIN_GRID_ID1016  3.8792332  0.1297001    29.909  < 2e-16 ***
ORIGIN_GRID_ID1018  4.6205668  0.1298574    35.582  < 2e-16 ***
ORIGIN_GRID_ID1019  6.1440182  0.1295518    47.425  < 2e-16 ***
ORIGIN_GRID_ID1023  4.1822830  0.1298239    32.215  < 2e-16 ***
ORIGIN_GRID_ID1024  5.2528556  0.1295474    40.548  < 2e-16 ***
ORIGIN_GRID_ID1025  0.4221625  0.1461982     2.888 0.003882 ** 
ORIGIN_GRID_ID1033  2.4843122  0.1301206    19.092  < 2e-16 ***
ORIGIN_GRID_ID1034  3.5073211  0.1296952    27.043  < 2e-16 ***
ORIGIN_GRID_ID1035  4.2837576  0.1295764    33.060  < 2e-16 ***
ORIGIN_GRID_ID1036  2.0755191  0.1307386    15.875  < 2e-16 ***
ORIGIN_GRID_ID1037  3.4897111  0.1296871    26.909  < 2e-16 ***
ORIGIN_GRID_ID1043  2.5566669  0.1322212    19.336  < 2e-16 ***
ORIGIN_GRID_ID1045  4.9307555  0.1295429    38.063  < 2e-16 ***
ORIGIN_GRID_ID1046  4.8905827  0.1295733    37.744  < 2e-16 ***
ORIGIN_GRID_ID1053  4.0854320  0.1296047    31.522  < 2e-16 ***
ORIGIN_GRID_ID1054  2.9605318  0.1297939    22.809  < 2e-16 ***
ORIGIN_GRID_ID1055  4.1429096  0.1295702    31.974  < 2e-16 ***
ORIGIN_GRID_ID1056  3.1454460  0.1298445    24.225  < 2e-16 ***
ORIGIN_GRID_ID1064  0.2131839  0.2889233     0.738 0.460602    
ORIGIN_GRID_ID1066  4.6862731  0.1295716    36.167  < 2e-16 ***
ORIGIN_GRID_ID1067 -0.9904251  0.2417456    -4.097 4.19e-05 ***
ORIGIN_GRID_ID1074  3.3702393  0.1297325    25.978  < 2e-16 ***
ORIGIN_GRID_ID1075  2.5552420  0.1300269    19.652  < 2e-16 ***
ORIGIN_GRID_ID1076  2.8463568  0.1297986    21.929  < 2e-16 ***
ORIGIN_GRID_ID1077  3.0066988  0.1299451    23.138  < 2e-16 ***
ORIGIN_GRID_ID1079  4.4131543  0.1295796    34.057  < 2e-16 ***
ORIGIN_GRID_ID1085 -1.4790825  0.2215684    -6.676 2.46e-11 ***
ORIGIN_GRID_ID1087  4.7268319  0.1296032    36.472  < 2e-16 ***
ORIGIN_GRID_ID1088  2.9844708  0.1300714    22.945  < 2e-16 ***
ORIGIN_GRID_ID1094  1.3973136  0.1386685    10.077  < 2e-16 ***
ORIGIN_GRID_ID1095  0.7933646  0.1368234     5.798 6.69e-09 ***
ORIGIN_GRID_ID1096  2.8296938  0.1314608    21.525  < 2e-16 ***
ORIGIN_GRID_ID1097  4.8064529  0.1295123    37.112  < 2e-16 ***
ORIGIN_GRID_ID1098  2.4044239  0.1309934    18.355  < 2e-16 ***
ORIGIN_GRID_ID1099  3.8256068  0.1296599    29.505  < 2e-16 ***
ORIGIN_GRID_ID1105  1.3079775  0.1520134     8.604  < 2e-16 ***
ORIGIN_GRID_ID1106 -0.2276979  0.1736389    -1.311 0.189746    
ORIGIN_GRID_ID1107  2.3598355  0.1331096    17.729  < 2e-16 ***
ORIGIN_GRID_ID1108  6.5407755  0.1294866    50.513  < 2e-16 ***
ORIGIN_GRID_ID1109  1.6971775  0.1324761    12.811  < 2e-16 ***
ORIGIN_GRID_ID1116  3.1861706  0.1297970    24.547  < 2e-16 ***
ORIGIN_GRID_ID1117  1.5176749  0.1314870    11.542  < 2e-16 ***
ORIGIN_GRID_ID1118  2.0068808  0.1311075    15.307  < 2e-16 ***
ORIGIN_GRID_ID1119  2.9944241  0.1299506    23.043  < 2e-16 ***
ORIGIN_GRID_ID1120  2.9541060  0.1302886    22.674  < 2e-16 ***
ORIGIN_GRID_ID1129  5.0543710  0.1295598    39.012  < 2e-16 ***
ORIGIN_GRID_ID1130  5.0501125  0.1295277    38.989  < 2e-16 ***
ORIGIN_GRID_ID1131  2.8945987  0.1306686    22.152  < 2e-16 ***
ORIGIN_GRID_ID1136  2.2264765  0.1304067    17.073  < 2e-16 ***
ORIGIN_GRID_ID1138  1.0282958  0.1357144     7.577 3.54e-14 ***
ORIGIN_GRID_ID1139  3.9805773  0.1295749    30.720  < 2e-16 ***
ORIGIN_GRID_ID1141  3.9503843  0.1296301    30.474  < 2e-16 ***
ORIGIN_GRID_ID1148  1.3408943  0.1408300     9.521  < 2e-16 ***
ORIGIN_GRID_ID1149  2.8024154  0.1310217    21.389  < 2e-16 ***
ORIGIN_GRID_ID1150  5.2858207  0.1295177    40.812  < 2e-16 ***
ORIGIN_GRID_ID1151  4.1203694  0.1296415    31.783  < 2e-16 ***
ORIGIN_GRID_ID1158  2.2701398  0.1300766    17.452  < 2e-16 ***
ORIGIN_GRID_ID1159  3.7611681  0.1295994    29.022  < 2e-16 ***
ORIGIN_GRID_ID1160  4.8071515  0.1295149    37.117  < 2e-16 ***
ORIGIN_GRID_ID1171  5.8557063  0.1295288    45.208  < 2e-16 ***
ORIGIN_GRID_ID1172  5.6489420  0.1295260    43.612  < 2e-16 ***
ORIGIN_GRID_ID1173  2.8766934  0.1301920    22.096  < 2e-16 ***
ORIGIN_GRID_ID1174 -1.3483478  0.2889053    -4.667 3.05e-06 ***
ORIGIN_GRID_ID1178  2.5122230  0.1300060    19.324  < 2e-16 ***
ORIGIN_GRID_ID1179  3.1854328  0.1296935    24.561  < 2e-16 ***
ORIGIN_GRID_ID1180  4.2861365  0.1295393    33.088  < 2e-16 ***
ORIGIN_GRID_ID1181  3.5697530  0.1296571    27.532  < 2e-16 ***
ORIGIN_GRID_ID1183  2.6719491  0.1302616    20.512  < 2e-16 ***
ORIGIN_GRID_ID1190  1.6462335  0.1391259    11.833  < 2e-16 ***
ORIGIN_GRID_ID1192  4.5256804  0.1296380    34.910  < 2e-16 ***
ORIGIN_GRID_ID1193  4.4831197  0.1295853    34.596  < 2e-16 ***
ORIGIN_GRID_ID1194  2.6592846  0.1304248    20.389  < 2e-16 ***
ORIGIN_GRID_ID1200  3.3510384  0.1296636    25.844  < 2e-16 ***
ORIGIN_GRID_ID1201  3.1314059  0.1297033    24.143  < 2e-16 ***
ORIGIN_GRID_ID1203  4.0408206  0.1296138    31.176  < 2e-16 ***
ORIGIN_GRID_ID1204  3.8857146  0.1296366    29.974  < 2e-16 ***
ORIGIN_GRID_ID1211  0.3813337  0.2538849     1.502 0.133099    
ORIGIN_GRID_ID1214  5.3089387  0.1295355    40.984  < 2e-16 ***
ORIGIN_GRID_ID1215  1.7147503  0.1368669    12.529  < 2e-16 ***
ORIGIN_GRID_ID1216  0.7334072  0.1369348     5.356 8.51e-08 ***
ORIGIN_GRID_ID1220  4.3057999  0.1295378    33.240  < 2e-16 ***
ORIGIN_GRID_ID1221  3.9976542  0.1295511    30.858  < 2e-16 ***
ORIGIN_GRID_ID1222  3.6611952  0.1299040    28.184  < 2e-16 ***
ORIGIN_GRID_ID1223  1.9502490  0.1308714    14.902  < 2e-16 ***
ORIGIN_GRID_ID1224  2.8226096  0.1299990    21.713  < 2e-16 ***
ORIGIN_GRID_ID1231 -1.1273352  0.2382868    -4.731 2.23e-06 ***
ORIGIN_GRID_ID1232  1.3665761  0.1677196     8.148 3.70e-16 ***
ORIGIN_GRID_ID1235  2.8084184  0.1302634    21.560  < 2e-16 ***
ORIGIN_GRID_ID1236  2.5693942  0.1303759    19.708  < 2e-16 ***
ORIGIN_GRID_ID1241  2.5283114  0.1299796    19.452  < 2e-16 ***
ORIGIN_GRID_ID1242  3.2004247  0.1296720    24.681  < 2e-16 ***
ORIGIN_GRID_ID1243  3.8121117  0.1295703    29.421  < 2e-16 ***
ORIGIN_GRID_ID1246  3.0005728  0.1298762    23.103  < 2e-16 ***
ORIGIN_GRID_ID1256  4.2438397  0.1296949    32.722  < 2e-16 ***
ORIGIN_GRID_ID1257  5.1461622  0.1295877    39.712  < 2e-16 ***
ORIGIN_GRID_ID1258  3.0360731  0.1303612    23.290  < 2e-16 ***
ORIGIN_GRID_ID1262  2.9699637  0.1297783    22.885  < 2e-16 ***
ORIGIN_GRID_ID1263  3.4073304  0.1296014    26.291  < 2e-16 ***
ORIGIN_GRID_ID1264  2.3915412  0.1302408    18.362  < 2e-16 ***
ORIGIN_GRID_ID1265  2.0711362  0.1307202    15.844  < 2e-16 ***
ORIGIN_GRID_ID1266  3.7101394  0.1297145    28.602  < 2e-16 ***
ORIGIN_GRID_ID1267  1.6027063  0.1336474    11.992  < 2e-16 ***
ORIGIN_GRID_ID1272 -0.8310326  0.1962432    -4.235 2.29e-05 ***
ORIGIN_GRID_ID1273  3.5417834  0.1301445    27.214  < 2e-16 ***
ORIGIN_GRID_ID1277  5.1943425  0.1295379    40.099  < 2e-16 ***
ORIGIN_GRID_ID1278  2.5638278  0.1303311    19.672  < 2e-16 ***
ORIGIN_GRID_ID1283  4.6839572  0.1295278    36.162  < 2e-16 ***
ORIGIN_GRID_ID1284  3.9509376  0.1295638    30.494  < 2e-16 ***
ORIGIN_GRID_ID1285  4.5836858  0.1295114    35.392  < 2e-16 ***
ORIGIN_GRID_ID1286  2.7687043  0.1300197    21.295  < 2e-16 ***
ORIGIN_GRID_ID1289  1.1288935  0.1404000     8.041 8.94e-16 ***
ORIGIN_GRID_ID1293  0.2353335  0.1533901     1.534 0.124977    
ORIGIN_GRID_ID1294  5.0376714  0.1296233    38.864  < 2e-16 ***
ORIGIN_GRID_ID1295  2.4729266  0.1314395    18.814  < 2e-16 ***
ORIGIN_GRID_ID1298  4.2530040  0.1296663    32.800  < 2e-16 ***
ORIGIN_GRID_ID1299  4.5902004  0.1296315    35.410  < 2e-16 ***
ORIGIN_GRID_ID1304  4.5856849  0.1295264    35.403  < 2e-16 ***
ORIGIN_GRID_ID1305  3.9455330  0.1295375    30.459  < 2e-16 ***
ORIGIN_GRID_ID1307  0.1619759  0.1400441     1.157 0.247433    
ORIGIN_GRID_ID1308  3.7704783  0.1296399    29.084  < 2e-16 ***
ORIGIN_GRID_ID1310 -1.0702116  0.2689222    -3.980 6.90e-05 ***
ORIGIN_GRID_ID1316  1.5173112  0.1348056    11.256  < 2e-16 ***
ORIGIN_GRID_ID1317  3.2308626  0.1300400    24.845  < 2e-16 ***
ORIGIN_GRID_ID1318  2.4603808  0.1306437    18.833  < 2e-16 ***
ORIGIN_GRID_ID1319  5.4956384  0.1295298    42.428  < 2e-16 ***
ORIGIN_GRID_ID1320  4.0425238  0.1297962    31.145  < 2e-16 ***
ORIGIN_GRID_ID1325  2.1886916  0.1301735    16.814  < 2e-16 ***
ORIGIN_GRID_ID1326  4.1536199  0.1295329    32.066  < 2e-16 ***
ORIGIN_GRID_ID1327  3.8891636  0.1295574    30.019  < 2e-16 ***
ORIGIN_GRID_ID1328  2.5063137  0.1299361    19.289  < 2e-16 ***
ORIGIN_GRID_ID1329  2.8013237  0.1301209    21.529  < 2e-16 ***
ORIGIN_GRID_ID1330  3.6813711  0.1297718    28.368  < 2e-16 ***
ORIGIN_GRID_ID1331 -1.3107561  0.3576138    -3.665 0.000247 ***
ORIGIN_GRID_ID1333  3.0975575  0.1301471    23.800  < 2e-16 ***
ORIGIN_GRID_ID1334  3.3515174  0.1300529    25.770  < 2e-16 ***
ORIGIN_GRID_ID1335  2.9605826  0.1307171    22.649  < 2e-16 ***
ORIGIN_GRID_ID1336  0.1347099  0.1897237     0.710 0.477684    
ORIGIN_GRID_ID1337  0.5045431  0.1420038     3.553 0.000381 ***
ORIGIN_GRID_ID1338 -0.9328320  0.1745382    -5.345 9.06e-08 ***
ORIGIN_GRID_ID1339  5.3084605  0.1295271    40.983  < 2e-16 ***
ORIGIN_GRID_ID1340  3.6949941  0.1298170    28.463  < 2e-16 ***
ORIGIN_GRID_ID1341  0.8719325  0.2584382     3.374 0.000741 ***
ORIGIN_GRID_ID1346  3.7738585  0.1296435    29.110  < 2e-16 ***
ORIGIN_GRID_ID1347  4.7726805  0.1295129    36.851  < 2e-16 ***
ORIGIN_GRID_ID1348  3.1212890  0.1296610    24.073  < 2e-16 ***
ORIGIN_GRID_ID1349  2.9454666  0.1298115    22.690  < 2e-16 ***
ORIGIN_GRID_ID1350  3.2838802  0.1299983    25.261  < 2e-16 ***
ORIGIN_GRID_ID1353  3.1027954  0.1299061    23.885  < 2e-16 ***
ORIGIN_GRID_ID1354  2.8635185  0.1301961    21.994  < 2e-16 ***
ORIGIN_GRID_ID1355  3.6802298  0.1297815    28.357  < 2e-16 ***
ORIGIN_GRID_ID1357  2.7251322  0.1310941    20.788  < 2e-16 ***
ORIGIN_GRID_ID1358  4.0680191  0.1297057    31.363  < 2e-16 ***
ORIGIN_GRID_ID1359  4.4009234  0.1295848    33.962  < 2e-16 ***
ORIGIN_GRID_ID1360  4.4682224  0.1295908    34.479  < 2e-16 ***
ORIGIN_GRID_ID1361  5.6129332  0.1295380    43.330  < 2e-16 ***
ORIGIN_GRID_ID1362  1.7447878  0.1359707    12.832  < 2e-16 ***
ORIGIN_GRID_ID1368  2.6386385  0.1298119    20.327  < 2e-16 ***
ORIGIN_GRID_ID1369  2.3441814  0.1298742    18.050  < 2e-16 ***
ORIGIN_GRID_ID1370  3.5797559  0.1295808    27.626  < 2e-16 ***
ORIGIN_GRID_ID1371  2.9637704  0.1299390    22.809  < 2e-16 ***
ORIGIN_GRID_ID1372  2.2818885  0.1302032    17.526  < 2e-16 ***
ORIGIN_GRID_ID1373  0.6721981  0.1397845     4.809 1.52e-06 ***
ORIGIN_GRID_ID1374  2.5921803  0.1301010    19.924  < 2e-16 ***
ORIGIN_GRID_ID1375  4.1348606  0.1297283    31.873  < 2e-16 ***
ORIGIN_GRID_ID1376  3.4215188  0.1302059    26.278  < 2e-16 ***
ORIGIN_GRID_ID1379  1.7301396  0.1344608    12.867  < 2e-16 ***
ORIGIN_GRID_ID1380  5.7885037  0.1295021    44.698  < 2e-16 ***
ORIGIN_GRID_ID1381  5.3808817  0.1295254    41.543  < 2e-16 ***
ORIGIN_GRID_ID1382  4.8304231  0.1296301    37.263  < 2e-16 ***
ORIGIN_GRID_ID1383  2.4472831  0.1320124    18.538  < 2e-16 ***
ORIGIN_GRID_ID1388  3.1755493  0.1296739    24.489  < 2e-16 ***
ORIGIN_GRID_ID1389  1.9162081  0.1300810    14.731  < 2e-16 ***
ORIGIN_GRID_ID1390  3.0639074  0.1296886    23.625  < 2e-16 ***
ORIGIN_GRID_ID1391  3.1532055  0.1297394    24.304  < 2e-16 ***
ORIGIN_GRID_ID1392  2.6573413  0.1308423    20.309  < 2e-16 ***
ORIGIN_GRID_ID1393  1.8312250  0.1304911    14.033  < 2e-16 ***
ORIGIN_GRID_ID1394  3.2860448  0.1297214    25.332  < 2e-16 ***
ORIGIN_GRID_ID1395  3.3657827  0.1297195    25.947  < 2e-16 ***
ORIGIN_GRID_ID1396  4.4800140  0.1295695    34.576  < 2e-16 ***
ORIGIN_GRID_ID1397  4.5522432  0.1295789    35.131  < 2e-16 ***
ORIGIN_GRID_ID1398  3.4846263  0.1300083    26.803  < 2e-16 ***
ORIGIN_GRID_ID1400  4.5912895  0.1296505    35.413  < 2e-16 ***
ORIGIN_GRID_ID1401  4.9536350  0.1295292    38.243  < 2e-16 ***
ORIGIN_GRID_ID1402  4.9646178  0.1295495    38.322  < 2e-16 ***
ORIGIN_GRID_ID1404  5.0852329  0.1304587    38.980  < 2e-16 ***
ORIGIN_GRID_ID1410  2.6886491  0.1297482    20.722  < 2e-16 ***
ORIGIN_GRID_ID1411  2.7305697  0.1297701    21.042  < 2e-16 ***
ORIGIN_GRID_ID1412  3.0000633  0.1296607    23.138  < 2e-16 ***
ORIGIN_GRID_ID1413  3.8938574  0.1295767    30.051  < 2e-16 ***
ORIGIN_GRID_ID1414  3.2709135  0.1296447    25.230  < 2e-16 ***
ORIGIN_GRID_ID1415  2.8149099  0.1298560    21.677  < 2e-16 ***
ORIGIN_GRID_ID1416  3.4907791  0.1296712    26.920  < 2e-16 ***
ORIGIN_GRID_ID1417  3.6303776  0.1296533    28.001  < 2e-16 ***
ORIGIN_GRID_ID1418  4.4498804  0.1295605    34.346  < 2e-16 ***
ORIGIN_GRID_ID1419  3.9245788  0.1296549    30.269  < 2e-16 ***
ORIGIN_GRID_ID1422  5.0268839  0.1295733    38.796  < 2e-16 ***
ORIGIN_GRID_ID1423  5.9376558  0.1295168    45.845  < 2e-16 ***
ORIGIN_GRID_ID1430  3.4869822  0.1296319    26.899  < 2e-16 ***
ORIGIN_GRID_ID1431  3.4558025  0.1295817    26.669  < 2e-16 ***
ORIGIN_GRID_ID1432  3.5826204  0.1295708    27.650  < 2e-16 ***
ORIGIN_GRID_ID1433  2.3260830  0.1307391    17.792  < 2e-16 ***
ORIGIN_GRID_ID1434  3.8657819  0.1295909    29.831  < 2e-16 ***
ORIGIN_GRID_ID1435  4.2696516  0.1295279    32.963  < 2e-16 ***
ORIGIN_GRID_ID1436  1.1364408  0.1320617     8.605  < 2e-16 ***
ORIGIN_GRID_ID1437  4.4487288  0.1295427    34.342  < 2e-16 ***
ORIGIN_GRID_ID1438  4.9347212  0.1295055    38.104  < 2e-16 ***
ORIGIN_GRID_ID1439  5.5373604  0.1294958    42.761  < 2e-16 ***
ORIGIN_GRID_ID1440  1.9797068  0.1312519    15.083  < 2e-16 ***
ORIGIN_GRID_ID1442  4.8508212  0.1296526    37.414  < 2e-16 ***
ORIGIN_GRID_ID1443  5.9140932  0.1295228    45.661  < 2e-16 ***
ORIGIN_GRID_ID1444  4.9594165  0.1297056    38.236  < 2e-16 ***
ORIGIN_GRID_ID1452  2.5677162  0.1297855    19.784  < 2e-16 ***
ORIGIN_GRID_ID1453  2.6997130  0.1297588    20.806  < 2e-16 ***
ORIGIN_GRID_ID1454  1.7879800  0.1311959    13.628  < 2e-16 ***
ORIGIN_GRID_ID1455  3.2249028  0.1297815    24.849  < 2e-16 ***
ORIGIN_GRID_ID1456  3.6335206  0.1296198    28.032  < 2e-16 ***
ORIGIN_GRID_ID1457  4.5049801  0.1295294    34.780  < 2e-16 ***
ORIGIN_GRID_ID1458  4.8437678  0.1295141    37.400  < 2e-16 ***
ORIGIN_GRID_ID1459  4.2834906  0.1295499    33.064  < 2e-16 ***
ORIGIN_GRID_ID1460  3.4611068  0.1296497    26.696  < 2e-16 ***
ORIGIN_GRID_ID1461  2.1402741  0.1307063    16.375  < 2e-16 ***
ORIGIN_GRID_ID1464  6.3077255  0.1295136    48.703  < 2e-16 ***
ORIGIN_GRID_ID1465  5.7870724  0.1295592    44.667  < 2e-16 ***
ORIGIN_GRID_ID1472  1.1349436  0.1315681     8.626  < 2e-16 ***
ORIGIN_GRID_ID1473  2.1013975  0.1299865    16.166  < 2e-16 ***
ORIGIN_GRID_ID1474  3.2753891  0.1296002    25.273  < 2e-16 ***
ORIGIN_GRID_ID1475  4.2457548  0.1295398    32.776  < 2e-16 ***
ORIGIN_GRID_ID1476  3.6026606  0.1296395    27.790  < 2e-16 ***
ORIGIN_GRID_ID1477  5.1544687  0.1294884    39.806  < 2e-16 ***
ORIGIN_GRID_ID1478  3.4707899  0.1296403    26.772  < 2e-16 ***
ORIGIN_GRID_ID1479  3.6993061  0.1296030    28.543  < 2e-16 ***
ORIGIN_GRID_ID1480  5.5255849  0.1294869    42.673  < 2e-16 ***
ORIGIN_GRID_ID1481  2.8593405  0.1298998    22.012  < 2e-16 ***
ORIGIN_GRID_ID1482  3.0504004  0.1302587    23.418  < 2e-16 ***
ORIGIN_GRID_ID1485  5.7568019  0.1295630    44.432  < 2e-16 ***
ORIGIN_GRID_ID1494  2.3374786  0.1302532    17.946  < 2e-16 ***
ORIGIN_GRID_ID1495  2.5803184  0.1297739    19.883  < 2e-16 ***
ORIGIN_GRID_ID1496  3.7282683  0.1295560    28.777  < 2e-16 ***
ORIGIN_GRID_ID1497  4.0804886  0.1295732    31.492  < 2e-16 ***
ORIGIN_GRID_ID1498  4.4406133  0.1295271    34.283  < 2e-16 ***
ORIGIN_GRID_ID1499  4.6788834  0.1295119    36.127  < 2e-16 ***
ORIGIN_GRID_ID1500  4.5772025  0.1295801    35.323  < 2e-16 ***
ORIGIN_GRID_ID1501  4.8195857  0.1295135    37.213  < 2e-16 ***
ORIGIN_GRID_ID1502  4.2643828  0.1295537    32.916  < 2e-16 ***
ORIGIN_GRID_ID1506  0.2970822  0.1762190     1.686 0.091821 .  
ORIGIN_GRID_ID1515  1.5189243  0.1320530    11.502  < 2e-16 ***
ORIGIN_GRID_ID1516  2.9705417  0.1296972    22.904  < 2e-16 ***
ORIGIN_GRID_ID1517  3.4592978  0.1296628    26.679  < 2e-16 ***
ORIGIN_GRID_ID1518  3.3675364  0.1296951    25.965  < 2e-16 ***
ORIGIN_GRID_ID1519  4.7090775  0.1295591    36.347  < 2e-16 ***
ORIGIN_GRID_ID1520  3.4147334  0.1296595    26.336  < 2e-16 ***
ORIGIN_GRID_ID1521  2.7563326  0.1299338    21.213  < 2e-16 ***
ORIGIN_GRID_ID1522  5.0242896  0.1295061    38.796  < 2e-16 ***
ORIGIN_GRID_ID1523  3.5220708  0.1304804    26.993  < 2e-16 ***
ORIGIN_GRID_ID1524  3.6961981  0.1298554    28.464  < 2e-16 ***
ORIGIN_GRID_ID1527  3.7040772  0.1305442    28.374  < 2e-16 ***
ORIGIN_GRID_ID1535 -0.0171423  0.1641542    -0.104 0.916830    
ORIGIN_GRID_ID1536  0.8663502  0.1342116     6.455 1.08e-10 ***
ORIGIN_GRID_ID1537  1.5548327  0.1310689    11.863  < 2e-16 ***
ORIGIN_GRID_ID1538  3.2032762  0.1296375    24.709  < 2e-16 ***
ORIGIN_GRID_ID1539  3.7373038  0.1295703    28.844  < 2e-16 ***
ORIGIN_GRID_ID1540  4.3407636  0.1295332    33.511  < 2e-16 ***
ORIGIN_GRID_ID1541  5.5259021  0.1295773    42.646  < 2e-16 ***
ORIGIN_GRID_ID1542  2.4743301  0.1304626    18.966  < 2e-16 ***
ORIGIN_GRID_ID1543  3.3002503  0.1314529    25.106  < 2e-16 ***
ORIGIN_GRID_ID1544  4.2735246  0.1296349    32.966  < 2e-16 ***
ORIGIN_GRID_ID1547  1.4182427  0.1441620     9.838  < 2e-16 ***
ORIGIN_GRID_ID1556  1.1242212  0.1488414     7.553 4.25e-14 ***
ORIGIN_GRID_ID1557  0.8823117  0.1348011     6.545 5.94e-11 ***
ORIGIN_GRID_ID1558  2.1185187  0.1311146    16.158  < 2e-16 ***
ORIGIN_GRID_ID1559  3.8656696  0.1295572    29.838  < 2e-16 ***
ORIGIN_GRID_ID1560  4.7090886  0.1295101    36.361  < 2e-16 ***
ORIGIN_GRID_ID1561  4.5843521  0.1295415    35.389  < 2e-16 ***
ORIGIN_GRID_ID1562  1.6418245  0.1312344    12.511  < 2e-16 ***
ORIGIN_GRID_ID1563  3.4575761  0.1296800    26.662  < 2e-16 ***
ORIGIN_GRID_ID1564  2.6177327  0.1302216    20.102  < 2e-16 ***
ORIGIN_GRID_ID1565  2.6814118  0.1302687    20.584  < 2e-16 ***
ORIGIN_GRID_ID1566  2.4310355  0.1311209    18.540  < 2e-16 ***
ORIGIN_GRID_ID1567  0.3787053  0.1608184     2.355 0.018530 *  
ORIGIN_GRID_ID1568  1.3839745  0.1461692     9.468  < 2e-16 ***
ORIGIN_GRID_ID1578 -1.5728190  0.2899388    -5.425 5.81e-08 ***
ORIGIN_GRID_ID1580  2.3309895  0.1306549    17.841  < 2e-16 ***
ORIGIN_GRID_ID1581  1.1788586  0.1313066     8.978  < 2e-16 ***
ORIGIN_GRID_ID1582  4.3993498  0.1295175    33.967  < 2e-16 ***
ORIGIN_GRID_ID1583  2.6686447  0.1312439    20.333  < 2e-16 ***
ORIGIN_GRID_ID1584  2.9369434  0.1299191    22.606  < 2e-16 ***
ORIGIN_GRID_ID1585  3.5662654  0.1298352    27.468  < 2e-16 ***
ORIGIN_GRID_ID1586  2.5582113  0.1302014    19.648  < 2e-16 ***
ORIGIN_GRID_ID1589  0.3678526  0.1633161     2.252 0.024297 *  
ORIGIN_GRID_ID1590  1.1042949  0.1473755     7.493 6.73e-14 ***
ORIGIN_GRID_ID1600  4.4547504  0.1299074    34.292  < 2e-16 ***
ORIGIN_GRID_ID1601  2.9997961  0.1297039    23.128  < 2e-16 ***
ORIGIN_GRID_ID1602  3.6845917  0.1296126    28.428  < 2e-16 ***
ORIGIN_GRID_ID1603  4.5949833  0.1295212    35.477  < 2e-16 ***
ORIGIN_GRID_ID1604  3.1076315  0.1297212    23.956  < 2e-16 ***
ORIGIN_GRID_ID1605  4.5184538  0.1295292    34.884  < 2e-16 ***
ORIGIN_GRID_ID1606  3.9910284  0.1298392    30.738  < 2e-16 ***
ORIGIN_GRID_ID1607  3.3215897  0.1298243    25.585  < 2e-16 ***
ORIGIN_GRID_ID1608  5.3320204  0.1295373    41.162  < 2e-16 ***
ORIGIN_GRID_ID1609  5.2199631  0.1295866    40.282  < 2e-16 ***
ORIGIN_GRID_ID1610  1.8077475  0.1457203    12.406  < 2e-16 ***
ORIGIN_GRID_ID1622  3.0573653  0.1314505    23.259  < 2e-16 ***
ORIGIN_GRID_ID1623  4.3838851  0.1295231    33.846  < 2e-16 ***
ORIGIN_GRID_ID1624  3.1616341  0.1297366    24.370  < 2e-16 ***
ORIGIN_GRID_ID1625  4.5523132  0.1295434    35.141  < 2e-16 ***
ORIGIN_GRID_ID1626  5.2264188  0.1294994    40.359  < 2e-16 ***
ORIGIN_GRID_ID1627  3.6158754  0.1296690    27.885  < 2e-16 ***
ORIGIN_GRID_ID1628  5.3592356  0.1295024    41.383  < 2e-16 ***
ORIGIN_GRID_ID1629  4.3638788  0.1296412    33.661  < 2e-16 ***
ORIGIN_GRID_ID1630  4.4762527  0.1297017    34.512  < 2e-16 ***
ORIGIN_GRID_ID1631  0.8368900  0.1472906     5.682 1.33e-08 ***
ORIGIN_GRID_ID1642  1.8718460  0.1330383    14.070  < 2e-16 ***
ORIGIN_GRID_ID1643  4.3398808  0.1295340    33.504  < 2e-16 ***
ORIGIN_GRID_ID1644  2.1211876  0.1306050    16.241  < 2e-16 ***
ORIGIN_GRID_ID1645  3.5844905  0.1296118    27.656  < 2e-16 ***
ORIGIN_GRID_ID1646  3.4214648  0.1297941    26.361  < 2e-16 ***
ORIGIN_GRID_ID1647  3.8054906  0.1295962    29.364  < 2e-16 ***
ORIGIN_GRID_ID1648  4.4539396  0.1295494    34.380  < 2e-16 ***
ORIGIN_GRID_ID1649  5.2336781  0.1295096    40.412  < 2e-16 ***
ORIGIN_GRID_ID1650  5.3640071  0.1295696    41.399  < 2e-16 ***
ORIGIN_GRID_ID1664 -0.7588693  0.1962825    -3.866 0.000111 ***
ORIGIN_GRID_ID1665  4.5151426  0.1295191    34.861  < 2e-16 ***
ORIGIN_GRID_ID1666  3.2031102  0.1296688    24.702  < 2e-16 ***
ORIGIN_GRID_ID1667  4.2002248  0.1299141    32.331  < 2e-16 ***
ORIGIN_GRID_ID1668  4.3551117  0.1295452    33.618  < 2e-16 ***
ORIGIN_GRID_ID1670  5.2550173  0.1295025    40.579  < 2e-16 ***
ORIGIN_GRID_ID1671  5.9739624  0.1295651    46.108  < 2e-16 ***
ORIGIN_GRID_ID1672  5.6274831  0.1295951    43.424  < 2e-16 ***
ORIGIN_GRID_ID1684  3.4811860  0.1301789    26.742  < 2e-16 ***
ORIGIN_GRID_ID1685  4.0817590  0.1295723    31.502  < 2e-16 ***
ORIGIN_GRID_ID1686  3.9410250  0.1295759    30.415  < 2e-16 ***
ORIGIN_GRID_ID1687  3.5241273  0.1296877    27.174  < 2e-16 ***
ORIGIN_GRID_ID1688  3.0621331  0.1297655    23.597  < 2e-16 ***
ORIGIN_GRID_ID1689  2.6629160  0.1301575    20.459  < 2e-16 ***
ORIGIN_GRID_ID1690  4.1813693  0.1296304    32.256  < 2e-16 ***
ORIGIN_GRID_ID1691  4.9733856  0.1295341    38.394  < 2e-16 ***
ORIGIN_GRID_ID1692  4.5694743  0.1297306    35.223  < 2e-16 ***
ORIGIN_GRID_ID1706  4.0150698  0.1296258    30.974  < 2e-16 ***
ORIGIN_GRID_ID1707  3.9710838  0.1295597    30.651  < 2e-16 ***
ORIGIN_GRID_ID1708  4.4753622  0.1295235    34.552  < 2e-16 ***
ORIGIN_GRID_ID1709  3.6253300  0.1296334    27.966  < 2e-16 ***
ORIGIN_GRID_ID1710  4.7993412  0.1295276    37.053  < 2e-16 ***
ORIGIN_GRID_ID1711  4.5447617  0.1295650    35.077  < 2e-16 ***
ORIGIN_GRID_ID1712  5.2317700  0.1295031    40.399  < 2e-16 ***
ORIGIN_GRID_ID1713  2.8597395  0.1301685    21.970  < 2e-16 ***
ORIGIN_GRID_ID1714  5.5324772  0.1295475    42.706  < 2e-16 ***
ORIGIN_GRID_ID1727  4.2747724  0.1295718    32.992  < 2e-16 ***
ORIGIN_GRID_ID1728  4.0874157  0.1295563    31.549  < 2e-16 ***
ORIGIN_GRID_ID1729  3.5536368  0.1295979    27.420  < 2e-16 ***
ORIGIN_GRID_ID1730  1.5981423  0.1315329    12.150  < 2e-16 ***
ORIGIN_GRID_ID1731  4.3960343  0.1295648    33.929  < 2e-16 ***
ORIGIN_GRID_ID1732  4.9167829  0.1295129    37.964  < 2e-16 ***
ORIGIN_GRID_ID1733  4.7171409  0.1295384    36.415  < 2e-16 ***
ORIGIN_GRID_ID1734  5.1395119  0.1295325    39.677  < 2e-16 ***
ORIGIN_GRID_ID1735  6.8919760  0.1296325    53.166  < 2e-16 ***
ORIGIN_GRID_ID1748  2.9435313  0.1298841    22.663  < 2e-16 ***
ORIGIN_GRID_ID1749  3.9128125  0.1295667    30.199  < 2e-16 ***
ORIGIN_GRID_ID1750  3.0646088  0.1296972    23.629  < 2e-16 ***
ORIGIN_GRID_ID1751  2.4513459  0.1299531    18.863  < 2e-16 ***
ORIGIN_GRID_ID1753  4.9802612  0.1295174    38.452  < 2e-16 ***
ORIGIN_GRID_ID1754  5.3431159  0.1295005    41.259  < 2e-16 ***
ORIGIN_GRID_ID1755  4.9029617  0.1295344    37.851  < 2e-16 ***
ORIGIN_GRID_ID1756  4.8502328  0.1295757    37.432  < 2e-16 ***
ORIGIN_GRID_ID1757  2.8651416  0.1338356    21.408  < 2e-16 ***
ORIGIN_GRID_ID1769  3.7916180  0.1296126    29.253  < 2e-16 ***
ORIGIN_GRID_ID1770  3.3886222  0.1298998    26.086  < 2e-16 ***
ORIGIN_GRID_ID1771  2.5194287  0.1299723    19.384  < 2e-16 ***
ORIGIN_GRID_ID1772  1.3000255  0.1322749     9.828  < 2e-16 ***
ORIGIN_GRID_ID1774  4.6941065  0.1295321    36.239  < 2e-16 ***
ORIGIN_GRID_ID1775  4.3646422  0.1295831    33.682  < 2e-16 ***
ORIGIN_GRID_ID1776  5.5518488  0.1295046    42.870  < 2e-16 ***
ORIGIN_GRID_ID1777  5.6260822  0.1295205    43.438  < 2e-16 ***
ORIGIN_GRID_ID1778  5.4350898  0.1300746    41.784  < 2e-16 ***
ORIGIN_GRID_ID1790  4.4547999  0.1295620    34.384  < 2e-16 ***
ORIGIN_GRID_ID1791  3.7973439  0.1296385    29.292  < 2e-16 ***
ORIGIN_GRID_ID1792  3.7902703  0.1296554    29.233  < 2e-16 ***
ORIGIN_GRID_ID1793  1.6270087  0.1304350    12.474  < 2e-16 ***
ORIGIN_GRID_ID1794  1.5958109  0.1326563    12.030  < 2e-16 ***
ORIGIN_GRID_ID1795  1.1802742  0.1339618     8.811  < 2e-16 ***
ORIGIN_GRID_ID1796  5.2106523  0.1295332    40.226  < 2e-16 ***
ORIGIN_GRID_ID1797  5.2110788  0.1295193    40.234  < 2e-16 ***
ORIGIN_GRID_ID1798  5.2693316  0.1295198    40.684  < 2e-16 ***
ORIGIN_GRID_ID1799  4.5198451  0.1296966    34.849  < 2e-16 ***
ORIGIN_GRID_ID1800  3.8629025  0.1324866    29.157  < 2e-16 ***
ORIGIN_GRID_ID1811  3.5444183  0.1296964    27.329  < 2e-16 ***
ORIGIN_GRID_ID1812  4.6966749  0.1295110    36.265  < 2e-16 ***
ORIGIN_GRID_ID1813  4.4946114  0.1295208    34.702  < 2e-16 ***
ORIGIN_GRID_ID1817  5.1124271  0.1295726    39.456  < 2e-16 ***
ORIGIN_GRID_ID1818  5.0618269  0.1295402    39.075  < 2e-16 ***
ORIGIN_GRID_ID1819  5.5667370  0.1295141    42.982  < 2e-16 ***
ORIGIN_GRID_ID1820  2.7908731  0.1346283    20.730  < 2e-16 ***
ORIGIN_GRID_ID1832  4.2311977  0.1295859    32.652  < 2e-16 ***
ORIGIN_GRID_ID1833  3.7774629  0.1296105    29.145  < 2e-16 ***
ORIGIN_GRID_ID1834  4.1247790  0.1295435    31.841  < 2e-16 ***
ORIGIN_GRID_ID1835  3.4121535  0.1296914    26.310  < 2e-16 ***
ORIGIN_GRID_ID1837  0.6594326  0.1440835     4.577 4.72e-06 ***
ORIGIN_GRID_ID1839  4.5228427  0.1296753    34.878  < 2e-16 ***
ORIGIN_GRID_ID1840  6.3276194  0.1294887    48.866  < 2e-16 ***
ORIGIN_GRID_ID1841  1.8349592  0.1374079    13.354  < 2e-16 ***
ORIGIN_GRID_ID1842  6.3012911  0.1299780    48.480  < 2e-16 ***
ORIGIN_GRID_ID1853  4.1914152  0.1295606    32.351  < 2e-16 ***
ORIGIN_GRID_ID1854  4.3863215  0.1295508    33.858  < 2e-16 ***
ORIGIN_GRID_ID1855  4.6954572  0.1295293    36.250  < 2e-16 ***
ORIGIN_GRID_ID1858  2.4804322  0.1322807    18.751  < 2e-16 ***
ORIGIN_GRID_ID1860  5.8539094  0.1297670    45.111  < 2e-16 ***
ORIGIN_GRID_ID1861  5.3117542  0.1295460    41.003  < 2e-16 ***
ORIGIN_GRID_ID1874  4.3431282  0.1296187    33.507  < 2e-16 ***
ORIGIN_GRID_ID1875  2.7010206  0.1301909    20.747  < 2e-16 ***
ORIGIN_GRID_ID1876  4.7631369  0.1299376    36.657  < 2e-16 ***
ORIGIN_GRID_ID1877  4.4145884  0.1295525    34.076  < 2e-16 ***
ORIGIN_GRID_ID1880  0.8526207  0.1385220     6.155 7.50e-10 ***
ORIGIN_GRID_ID1882  5.1571335  0.1295583    39.806  < 2e-16 ***
ORIGIN_GRID_ID1883  5.6785705  0.1297945    43.750  < 2e-16 ***
ORIGIN_GRID_ID1895  4.4789153  0.1295522    34.572  < 2e-16 ***
ORIGIN_GRID_ID1896  2.8574487  0.1298518    22.005  < 2e-16 ***
ORIGIN_GRID_ID1897  3.4892852  0.1298018    26.882  < 2e-16 ***
ORIGIN_GRID_ID1898 -0.8912000  0.1987312    -4.484 7.31e-06 ***
ORIGIN_GRID_ID1901  0.7269809  0.1483645     4.900 9.59e-07 ***
ORIGIN_GRID_ID1903  5.0779284  0.1297809    39.127  < 2e-16 ***
ORIGIN_GRID_ID1917  2.9993956  0.1298518    23.099  < 2e-16 ***
ORIGIN_GRID_ID1918  4.5163529  0.1296007    34.848  < 2e-16 ***
ORIGIN_GRID_ID1919  4.3830214  0.1295698    33.827  < 2e-16 ***
ORIGIN_GRID_ID1922  2.2254180  0.1325101    16.794  < 2e-16 ***
ORIGIN_GRID_ID1924  4.8880095  0.1298217    37.652  < 2e-16 ***
ORIGIN_GRID_ID1937  3.8285679  0.1296628    29.527  < 2e-16 ***
ORIGIN_GRID_ID1938  4.5232315  0.1295383    34.918  < 2e-16 ***
ORIGIN_GRID_ID1939  5.1098902  0.1295264    39.451  < 2e-16 ***
ORIGIN_GRID_ID1942  1.0435950  0.1374788     7.591 3.18e-14 ***
ORIGIN_GRID_ID1959  3.4287112  0.1297791    26.420  < 2e-16 ***
ORIGIN_GRID_ID1960  5.4043068  0.1294907    41.735  < 2e-16 ***
ORIGIN_GRID_ID1961  3.8390946  0.1296598    29.609  < 2e-16 ***
ORIGIN_GRID_ID1962  4.8839851  0.1295336    37.704  < 2e-16 ***
ORIGIN_GRID_ID1964  0.1981314  0.1555335     1.274 0.202705    
ORIGIN_GRID_ID1979  3.7260387  0.1297299    28.722  < 2e-16 ***
ORIGIN_GRID_ID1980  2.0459585  0.1303142    15.700  < 2e-16 ***
ORIGIN_GRID_ID1981  4.5160778  0.1295352    34.864  < 2e-16 ***
ORIGIN_GRID_ID1982  3.5267360  0.1299850    27.132  < 2e-16 ***
ORIGIN_GRID_ID1983  4.7918877  0.1295369    36.992  < 2e-16 ***
ORIGIN_GRID_ID1984  3.4893806  0.1297114    26.901  < 2e-16 ***
ORIGIN_GRID_ID1985  4.2846688  0.1296196    33.056  < 2e-16 ***
ORIGIN_GRID_ID2001  4.0329986  0.1296050    31.118  < 2e-16 ***
ORIGIN_GRID_ID2002  4.6034555  0.1295175    35.543  < 2e-16 ***
ORIGIN_GRID_ID2003  4.2581191  0.1295642    32.865  < 2e-16 ***
ORIGIN_GRID_ID2004  4.8556981  0.1295330    37.486  < 2e-16 ***
ORIGIN_GRID_ID2005  4.7636946  0.1295281    36.777  < 2e-16 ***
ORIGIN_GRID_ID2006  3.2979584  0.1298281    25.402  < 2e-16 ***
ORIGIN_GRID_ID2007  2.7546844  0.1305436    21.102  < 2e-16 ***
ORIGIN_GRID_ID2022  4.3877787  0.1296083    33.854  < 2e-16 ***
ORIGIN_GRID_ID2023  4.8658289  0.1295142    37.570  < 2e-16 ***
ORIGIN_GRID_ID2024  4.1643775  0.1295542    32.144  < 2e-16 ***
ORIGIN_GRID_ID2025  4.2285190  0.1295468    32.641  < 2e-16 ***
ORIGIN_GRID_ID2026  2.9315762  0.1300204    22.547  < 2e-16 ***
ORIGIN_GRID_ID2027  5.1711253  0.1295230    39.924  < 2e-16 ***
ORIGIN_GRID_ID2043  3.7461616  0.1297077    28.882  < 2e-16 ***
ORIGIN_GRID_ID2044  4.4731771  0.1295324    34.533  < 2e-16 ***
ORIGIN_GRID_ID2045 -0.0104567  0.1514570    -0.069 0.944957    
ORIGIN_GRID_ID2046  4.4104016  0.1295220    34.051  < 2e-16 ***
ORIGIN_GRID_ID2047  4.2442830  0.1295712    32.756  < 2e-16 ***
ORIGIN_GRID_ID2048  4.4895082  0.1295464    34.656  < 2e-16 ***
ORIGIN_GRID_ID2049  3.5708278  0.1302123    27.423  < 2e-16 ***
ORIGIN_GRID_ID2064  4.4426221  0.1295612    34.290  < 2e-16 ***
ORIGIN_GRID_ID2065  2.8871187  0.1297734    22.247  < 2e-16 ***
ORIGIN_GRID_ID2066  2.2513245  0.1319877    17.057  < 2e-16 ***
ORIGIN_GRID_ID2067  5.6664927  0.1294869    43.761  < 2e-16 ***
ORIGIN_GRID_ID2068  4.0468610  0.1296589    31.212  < 2e-16 ***
ORIGIN_GRID_ID2069  4.3706733  0.1295837    33.729  < 2e-16 ***
ORIGIN_GRID_ID2085  3.3136417  0.1298500    25.519  < 2e-16 ***
ORIGIN_GRID_ID2086  4.7408917  0.1295271    36.602  < 2e-16 ***
ORIGIN_GRID_ID2087  3.3534521  0.1296879    25.858  < 2e-16 ***
ORIGIN_GRID_ID2088  4.0789735  0.1295479    31.486  < 2e-16 ***
ORIGIN_GRID_ID2089  3.8577915  0.1296340    29.759  < 2e-16 ***
ORIGIN_GRID_ID2090  5.3627676  0.1295062    41.409  < 2e-16 ***
ORIGIN_GRID_ID2091  0.6387225  0.1491045     4.284 1.84e-05 ***
ORIGIN_GRID_ID2105  1.3828244  0.1729913     7.994 1.31e-15 ***
ORIGIN_GRID_ID2106  1.6511102  0.1310538    12.599  < 2e-16 ***
ORIGIN_GRID_ID2107  2.7580094  0.1298289    21.243  < 2e-16 ***
ORIGIN_GRID_ID2108  4.0367357  0.1295895    31.150  < 2e-16 ***
ORIGIN_GRID_ID2109  4.1477480  0.1295436    32.018  < 2e-16 ***
ORIGIN_GRID_ID2110  3.5937877  0.1296824    27.712  < 2e-16 ***
ORIGIN_GRID_ID2111  0.6823990  0.1387149     4.919 8.68e-07 ***
ORIGIN_GRID_ID2128  2.4460281  0.1303520    18.765  < 2e-16 ***
ORIGIN_GRID_ID2129  1.8939694  0.1304859    14.515  < 2e-16 ***
ORIGIN_GRID_ID2130  4.6050632  0.1295200    35.555  < 2e-16 ***
ORIGIN_GRID_ID2131  4.9389681  0.1295425    38.126  < 2e-16 ***
ORIGIN_GRID_ID2132  3.8663117  0.1296126    29.830  < 2e-16 ***
ORIGIN_GRID_ID2148  3.3672892  0.1300277    25.897  < 2e-16 ***
ORIGIN_GRID_ID2149  1.9247590  0.1305509    14.743  < 2e-16 ***
ORIGIN_GRID_ID2150  4.4806953  0.1295475    34.587  < 2e-16 ***
ORIGIN_GRID_ID2151  4.9590524  0.1295084    38.291  < 2e-16 ***
ORIGIN_GRID_ID2152  5.1301416  0.1295166    39.610  < 2e-16 ***
ORIGIN_GRID_ID2153  4.4852319  0.1295847    34.612  < 2e-16 ***
ORIGIN_GRID_ID2171  3.4669628  0.1296841    26.734  < 2e-16 ***
ORIGIN_GRID_ID2172  3.5960189  0.1297172    27.722  < 2e-16 ***
ORIGIN_GRID_ID2173  4.1331933  0.1295664    31.900  < 2e-16 ***
ORIGIN_GRID_ID2174  4.4111212  0.1295746    34.043  < 2e-16 ***
ORIGIN_GRID_ID2191  3.1123881  0.1299286    23.955  < 2e-16 ***
ORIGIN_GRID_ID2192  2.8569855  0.1299943    21.978  < 2e-16 ***
ORIGIN_GRID_ID2193  3.7862644  0.1296203    29.210  < 2e-16 ***
ORIGIN_GRID_ID2194  4.2317583  0.1295685    32.660  < 2e-16 ***
ORIGIN_GRID_ID2195  3.6021615  0.1313715    27.420  < 2e-16 ***
ORIGIN_GRID_ID2212  0.3606119  0.1659223     2.173 0.029752 *  
ORIGIN_GRID_ID2213  0.7299266  0.1369975     5.328 9.93e-08 ***
ORIGIN_GRID_ID2214  1.2991426  0.1325124     9.804  < 2e-16 ***
ORIGIN_GRID_ID2215  3.8639217  0.1296627    29.800  < 2e-16 ***
ORIGIN_GRID_ID2216  2.8848107  0.1299647    22.197  < 2e-16 ***
ORIGIN_GRID_ID2233  0.9749715  0.1386261     7.033 2.02e-12 ***
ORIGIN_GRID_ID2234  2.7037537  0.1311590    20.614  < 2e-16 ***
ORIGIN_GRID_ID2235  2.6566383  0.1302369    20.399  < 2e-16 ***
ORIGIN_GRID_ID2236  2.6746701  0.1301318    20.554  < 2e-16 ***
ORIGIN_GRID_ID2237  0.3899994  0.1434832     2.718 0.006566 ** 
ORIGIN_GRID_ID2256  0.4075715  0.1369512     2.976 0.002920 ** 
ORIGIN_GRID_ID2257  2.4157297  0.1310802    18.429  < 2e-16 ***
ORIGIN_GRID_ID2258  1.9455386  0.1305447    14.903  < 2e-16 ***
ORIGIN_GRID_ID2259  1.4236995  0.1354743    10.509  < 2e-16 ***
ORIGIN_GRID_ID2277  2.6000998  0.1350242    19.257  < 2e-16 ***
ORIGIN_GRID_ID2278  2.9894046  0.1305044    22.907  < 2e-16 ***
ORIGIN_GRID_ID2279  1.5605342  0.1311216    11.901  < 2e-16 ***
ORIGIN_GRID_ID2280 -0.6702487  0.1861311    -3.601 0.000317 ***
ORIGIN_GRID_ID2297  4.4146447  0.1298322    34.003  < 2e-16 ***
ORIGIN_GRID_ID2300  0.2853511  0.1471357     1.939 0.052456 .  
ORIGIN_GRID_ID2301  1.8902615  0.1310322    14.426  < 2e-16 ***
ORIGIN_GRID_ID2318  2.4886960  0.1309797    19.001  < 2e-16 ***
ORIGIN_GRID_ID2319  3.0851707  0.1299788    23.736  < 2e-16 ***
ORIGIN_GRID_ID2322  2.9921760  0.1301228    22.995  < 2e-16 ***
ORIGIN_GRID_ID2337  4.0412783  0.1307146    30.917  < 2e-16 ***
ORIGIN_GRID_ID2341  3.4571357  0.1299062    26.613  < 2e-16 ***
ORIGIN_GRID_ID2343  2.3044960  0.1303157    17.684  < 2e-16 ***
ORIGIN_GRID_ID2361  3.1784077  0.1301125    24.428  < 2e-16 ***
ORIGIN_GRID_ID2364 -0.9475660  0.1610756    -5.883 4.04e-09 ***
ORIGIN_GRID_ID2379  3.4138609  0.1311151    26.037  < 2e-16 ***
ORIGIN_GRID_ID2384  2.0448982  0.1306680    15.650  < 2e-16 ***
ORIGIN_GRID_ID2405  1.6733562  0.1308150    12.792  < 2e-16 ***
ORIGIN_GRID_ID2406  0.4291838  0.1355201     3.167 0.001541 ** 
ORIGIN_GRID_ID2426  1.1511000  0.1337426     8.607  < 2e-16 ***
ORIGIN_GRID_ID2427  2.9829060  0.1300200    22.942  < 2e-16 ***
ORIGIN_GRID_ID2505  3.2593878  0.1375626    23.694  < 2e-16 ***
DESTIN_GRID_ID44    1.4613445  0.0599516    24.375  < 2e-16 ***
DESTIN_GRID_ID46    0.5281001  0.0595122     8.874  < 2e-16 ***
DESTIN_GRID_ID66   -0.3349358  0.0737221    -4.543 5.54e-06 ***
DESTIN_GRID_ID67    0.4631171  0.0576901     8.028 9.93e-16 ***
DESTIN_GRID_ID68    0.1715713  0.0596445     2.877 0.004020 ** 
DESTIN_GRID_ID86    0.5428844  0.0661282     8.210  < 2e-16 ***
DESTIN_GRID_ID87   -2.8407018  0.1051608   -27.013  < 2e-16 ***
DESTIN_GRID_ID88   -0.0372253  0.0586938    -0.634 0.525932    
DESTIN_GRID_ID89   -0.5724767  0.0601910    -9.511  < 2e-16 ***
DESTIN_GRID_ID90   -3.6909671  0.7095101    -5.202 1.97e-07 ***
DESTIN_GRID_ID109  -0.3555287  0.0610853    -5.820 5.88e-09 ***
DESTIN_GRID_ID110  -3.3096313  0.1302722   -25.406  < 2e-16 ***
DESTIN_GRID_ID111   1.1106456  0.0570277    19.476  < 2e-16 ***
DESTIN_GRID_ID112  -2.3654729  0.0649368   -36.427  < 2e-16 ***
DESTIN_GRID_ID128   1.1988050  0.0610728    19.629  < 2e-16 ***
DESTIN_GRID_ID129  -4.2937018  0.1496874   -28.684  < 2e-16 ***
DESTIN_GRID_ID130  -0.5693757  0.0605592    -9.402  < 2e-16 ***
DESTIN_GRID_ID131  -1.2903992  0.0602779   -21.408  < 2e-16 ***
DESTIN_GRID_ID132  -0.7739430  0.0576407   -13.427  < 2e-16 ***
DESTIN_GRID_ID133  -0.6712346  0.0570094   -11.774  < 2e-16 ***
DESTIN_GRID_ID134  -0.5379251  0.0568435    -9.463  < 2e-16 ***
DESTIN_GRID_ID150  -0.1496041  0.0654600    -2.285 0.022288 *  
DESTIN_GRID_ID151  -0.4644211  0.0603674    -7.693 1.43e-14 ***
DESTIN_GRID_ID152   0.4829987  0.0578588     8.348  < 2e-16 ***
DESTIN_GRID_ID153   0.0307320  0.0575513     0.534 0.593346    
DESTIN_GRID_ID154  -2.1242707  0.0625229   -33.976  < 2e-16 ***
DESTIN_GRID_ID155  -1.7342324  0.0590420   -29.373  < 2e-16 ***
DESTIN_GRID_ID156  -1.6070550  0.0601237   -26.729  < 2e-16 ***
DESTIN_GRID_ID172  -1.5307473  0.0719048   -21.289  < 2e-16 ***
DESTIN_GRID_ID174  -1.0403871  0.0579113   -17.965  < 2e-16 ***
DESTIN_GRID_ID175  -0.6277443  0.0566494   -11.081  < 2e-16 ***
DESTIN_GRID_ID176  -1.9784681  0.0631736   -31.318  < 2e-16 ***
DESTIN_GRID_ID195  -2.3387640  0.0638235   -36.644  < 2e-16 ***
DESTIN_GRID_ID196  -0.8952138  0.0566382   -15.806  < 2e-16 ***
DESTIN_GRID_ID197  -4.1036842  0.0951996   -43.106  < 2e-16 ***
DESTIN_GRID_ID215  -0.3826270  0.0633989    -6.035 1.59e-09 ***
DESTIN_GRID_ID216  -0.5181441  0.0579497    -8.941  < 2e-16 ***
DESTIN_GRID_ID217  -0.1887059  0.0565090    -3.339 0.000840 ***
DESTIN_GRID_ID237  -2.4922907  0.0637308   -39.107  < 2e-16 ***
DESTIN_GRID_ID238  -1.4988722  0.0578236   -25.921  < 2e-16 ***
DESTIN_GRID_ID239  -1.7792958  0.0639682   -27.815  < 2e-16 ***
DESTIN_GRID_ID257   0.4651127  0.0582242     7.988 1.37e-15 ***
DESTIN_GRID_ID258  -1.4108551  0.0590899   -23.876  < 2e-16 ***
DESTIN_GRID_ID259  -0.3035461  0.0570389    -5.322 1.03e-07 ***
DESTIN_GRID_ID278   0.8375133  0.0576999    14.515  < 2e-16 ***
DESTIN_GRID_ID279  -0.8889400  0.0574075   -15.485  < 2e-16 ***
DESTIN_GRID_ID280  -0.6287251  0.0572370   -10.985  < 2e-16 ***
DESTIN_GRID_ID298  -3.8431716  0.1609017   -23.885  < 2e-16 ***
DESTIN_GRID_ID299  -0.6012429  0.0581480   -10.340  < 2e-16 ***
DESTIN_GRID_ID300  -1.1741222  0.0584305   -20.094  < 2e-16 ***
DESTIN_GRID_ID320   0.7228598  0.0576184    12.546  < 2e-16 ***
DESTIN_GRID_ID321  -1.5426631  0.0608594   -25.348  < 2e-16 ***
DESTIN_GRID_ID322  -0.2908618  0.0571103    -5.093 3.52e-07 ***
DESTIN_GRID_ID340   1.4361887  0.0569568    25.215  < 2e-16 ***
DESTIN_GRID_ID341  -0.0599000  0.0571586    -1.048 0.294657    
DESTIN_GRID_ID342  -0.4159798  0.0568463    -7.318 2.52e-13 ***
DESTIN_GRID_ID363  -0.4321037  0.0574609    -7.520 5.48e-14 ***
DESTIN_GRID_ID364  -0.4306508  0.0564067    -7.635 2.26e-14 ***
DESTIN_GRID_ID383   0.5850398  0.0566167    10.333  < 2e-16 ***
DESTIN_GRID_ID384  -0.6189119  0.0564969   -10.955  < 2e-16 ***
DESTIN_GRID_ID385  -1.6021038  0.0579210   -27.660  < 2e-16 ***
DESTIN_GRID_ID404   0.7163941  0.0572973    12.503  < 2e-16 ***
DESTIN_GRID_ID405  -0.0188196  0.0568775    -0.331 0.740735    
DESTIN_GRID_ID406   0.3176348  0.0561292     5.659 1.52e-08 ***
DESTIN_GRID_ID407  -0.1984916  0.0567603    -3.497 0.000470 ***
DESTIN_GRID_ID408   0.9772047  0.0561938    17.390  < 2e-16 ***
DESTIN_GRID_ID425  -1.6565554  0.0611860   -27.074  < 2e-16 ***
DESTIN_GRID_ID426  -1.0768118  0.0568126   -18.954  < 2e-16 ***
DESTIN_GRID_ID427  -3.7414621  0.0618384   -60.504  < 2e-16 ***
DESTIN_GRID_ID428  -1.1636055  0.0571918   -20.346  < 2e-16 ***
DESTIN_GRID_ID429  -1.3521633  0.0608746   -22.212  < 2e-16 ***
DESTIN_GRID_ID446  -0.4409843  0.0605240    -7.286 3.19e-13 ***
DESTIN_GRID_ID447  -1.2739874  0.0584567   -21.794  < 2e-16 ***
DESTIN_GRID_ID448  -1.5881326  0.0570792   -27.823  < 2e-16 ***
DESTIN_GRID_ID449  -0.9490694  0.0563943   -16.829  < 2e-16 ***
DESTIN_GRID_ID450  -1.5529181  0.0573863   -27.061  < 2e-16 ***
DESTIN_GRID_ID468  -0.9213683  0.0569325   -16.184  < 2e-16 ***
DESTIN_GRID_ID469  -1.4670322  0.0565721   -25.932  < 2e-16 ***
DESTIN_GRID_ID470  -1.2754863  0.0564330   -22.602  < 2e-16 ***
DESTIN_GRID_ID471  -1.1039579  0.0585910   -18.842  < 2e-16 ***
DESTIN_GRID_ID488  -0.5162421  0.0602401    -8.570  < 2e-16 ***
DESTIN_GRID_ID489  -2.6008778  0.0737453   -35.268  < 2e-16 ***
DESTIN_GRID_ID490  -0.6873346  0.0565749   -12.149  < 2e-16 ***
DESTIN_GRID_ID491  -3.1738785  0.0584074   -54.340  < 2e-16 ***
DESTIN_GRID_ID493  -3.5089817  0.0743170   -47.216  < 2e-16 ***
DESTIN_GRID_ID494  -1.7140959  0.0605727   -28.298  < 2e-16 ***
DESTIN_GRID_ID509  -0.1578291  0.0580360    -2.720 0.006538 ** 
DESTIN_GRID_ID510  -0.4323293  0.0568436    -7.606 2.84e-14 ***
DESTIN_GRID_ID511  -1.2131823  0.0563560   -21.527  < 2e-16 ***
DESTIN_GRID_ID512  -1.5303333  0.0563855   -27.141  < 2e-16 ***
DESTIN_GRID_ID513  -0.3708491  0.0565794    -6.554 5.58e-11 ***
DESTIN_GRID_ID514  -0.6736440  0.0572329   -11.770  < 2e-16 ***
DESTIN_GRID_ID515  -2.1720656  0.0645568   -33.646  < 2e-16 ***
DESTIN_GRID_ID530  -0.7769814  0.0630739   -12.319  < 2e-16 ***
DESTIN_GRID_ID531   1.4326456  0.0562894    25.451  < 2e-16 ***
DESTIN_GRID_ID532  -0.9714404  0.0566318   -17.154  < 2e-16 ***
DESTIN_GRID_ID533   0.1854129  0.0560240     3.310 0.000935 ***
DESTIN_GRID_ID534  -1.3041925  0.0563867   -23.129  < 2e-16 ***
DESTIN_GRID_ID536  -1.5870691  0.0589090   -26.941  < 2e-16 ***
DESTIN_GRID_ID537  -2.3734877  0.0658888   -36.023  < 2e-16 ***
DESTIN_GRID_ID538  -2.7080702  0.0714079   -37.924  < 2e-16 ***
DESTIN_GRID_ID539  -5.0332665  0.2730831   -18.431  < 2e-16 ***
DESTIN_GRID_ID551  -0.1696208  0.0587451    -2.887 0.003884 ** 
DESTIN_GRID_ID552   0.2311646  0.0569904     4.056 4.99e-05 ***
DESTIN_GRID_ID553  -1.7385572  0.0566209   -30.705  < 2e-16 ***
DESTIN_GRID_ID554  -1.8118068  0.0564047   -32.122  < 2e-16 ***
DESTIN_GRID_ID555  -0.5584102  0.0564856    -9.886  < 2e-16 ***
DESTIN_GRID_ID559  -2.8246486  0.0775968   -36.402  < 2e-16 ***
DESTIN_GRID_ID560  -0.4870838  0.0585010    -8.326  < 2e-16 ***
DESTIN_GRID_ID561  -2.8694961  0.0877728   -32.692  < 2e-16 ***
DESTIN_GRID_ID572  -1.0856268  0.0657346   -16.515  < 2e-16 ***
DESTIN_GRID_ID573   0.5961690  0.0569387    10.470  < 2e-16 ***
DESTIN_GRID_ID574  -1.2290623  0.0581384   -21.140  < 2e-16 ***
DESTIN_GRID_ID575   1.2201865  0.0559806    21.797  < 2e-16 ***
DESTIN_GRID_ID576  -1.4166921  0.0563268   -25.151  < 2e-16 ***
DESTIN_GRID_ID578  -4.7797533  0.1209525   -39.518  < 2e-16 ***
DESTIN_GRID_ID582  -3.0771947  0.0844714   -36.429  < 2e-16 ***
DESTIN_GRID_ID583  -4.9595957  0.3820980   -12.980  < 2e-16 ***
DESTIN_GRID_ID584  -1.5035972  0.0666749   -22.551  < 2e-16 ***
DESTIN_GRID_ID593  -1.7178591  0.0615433   -27.913  < 2e-16 ***
DESTIN_GRID_ID594  -0.4077089  0.0577048    -7.065 1.60e-12 ***
DESTIN_GRID_ID595  -0.6220572  0.0562642   -11.056  < 2e-16 ***
DESTIN_GRID_ID596  -1.2088233  0.0561865   -21.514  < 2e-16 ***
DESTIN_GRID_ID597  -1.6811754  0.0580998   -28.936  < 2e-16 ***
DESTIN_GRID_ID603  -2.6294584  0.0769895   -34.153  < 2e-16 ***
DESTIN_GRID_ID604  -2.1679395  0.0755910   -28.680  < 2e-16 ***
DESTIN_GRID_ID615  -1.3225575  0.0578834   -22.849  < 2e-16 ***
DESTIN_GRID_ID616  -0.8434857  0.0566999   -14.876  < 2e-16 ***
DESTIN_GRID_ID617  -1.9351043  0.0567122   -34.122  < 2e-16 ***
DESTIN_GRID_ID618  -1.4309242  0.0563677   -25.386  < 2e-16 ***
DESTIN_GRID_ID620  -1.2811155  0.0571308   -22.424  < 2e-16 ***
DESTIN_GRID_ID637  -1.3483049  0.0570343   -23.640  < 2e-16 ***
DESTIN_GRID_ID638  -1.4103309  0.0563059   -25.048  < 2e-16 ***
DESTIN_GRID_ID657   0.0128136  0.0564141     0.227 0.820319    
DESTIN_GRID_ID658  -0.7036229  0.0563109   -12.495  < 2e-16 ***
DESTIN_GRID_ID659  -1.0120514  0.0562730   -17.985  < 2e-16 ***
DESTIN_GRID_ID660  -0.6107387  0.0561336   -10.880  < 2e-16 ***
DESTIN_GRID_ID662  -1.1760574  0.0573441   -20.509  < 2e-16 ***
DESTIN_GRID_ID677   0.0764958  0.0567709     1.347 0.177837    
DESTIN_GRID_ID678  -1.8403297  0.0577259   -31.880  < 2e-16 ***
DESTIN_GRID_ID679  -0.4130381  0.0561987    -7.350 1.99e-13 ***
DESTIN_GRID_ID680   1.0310495  0.0560185    18.406  < 2e-16 ***
DESTIN_GRID_ID681  -2.8561271  0.0596467   -47.884  < 2e-16 ***
DESTIN_GRID_ID699  -0.5067704  0.0567107    -8.936  < 2e-16 ***
DESTIN_GRID_ID700  -1.0499604  0.0564475   -18.601  < 2e-16 ***
DESTIN_GRID_ID701  -3.5305868  0.0605689   -58.290  < 2e-16 ***
DESTIN_GRID_ID702  -0.8240083  0.0561882   -14.665  < 2e-16 ***
DESTIN_GRID_ID704  -1.6987352  0.0571026   -29.749  < 2e-16 ***
DESTIN_GRID_ID722  -1.5820460  0.0566960   -27.904  < 2e-16 ***
DESTIN_GRID_ID725  -3.8675071  0.0624690   -61.911  < 2e-16 ***
DESTIN_GRID_ID741   0.0416807  0.0564646     0.738 0.460409    
DESTIN_GRID_ID743  -3.7016391  0.0612022   -60.482  < 2e-16 ***
DESTIN_GRID_ID744  -0.7597437  0.0561961   -13.520  < 2e-16 ***
DESTIN_GRID_ID761   0.3369798  0.0566385     5.950 2.69e-09 ***
DESTIN_GRID_ID762  -1.7383678  0.0577581   -30.097  < 2e-16 ***
DESTIN_GRID_ID763  -3.3275067  0.0602162   -55.259  < 2e-16 ***
DESTIN_GRID_ID764  -0.2369771  0.0560913    -4.225 2.39e-05 ***
DESTIN_GRID_ID765  -1.0677742  0.0568317   -18.788  < 2e-16 ***
DESTIN_GRID_ID767  -1.3779744  0.0564502   -24.410  < 2e-16 ***
DESTIN_GRID_ID772  -2.3326346  0.0697549   -33.440  < 2e-16 ***
DESTIN_GRID_ID784  -3.1469140  0.0605073   -52.009  < 2e-16 ***
DESTIN_GRID_ID785  -1.1911851  0.0562715   -21.169  < 2e-16 ***
DESTIN_GRID_ID786  -1.0762369  0.0562032   -19.149  < 2e-16 ***
DESTIN_GRID_ID787  -1.8952837  0.0570945   -33.196  < 2e-16 ***
DESTIN_GRID_ID788  -3.4158020  0.0585588   -58.331  < 2e-16 ***
DESTIN_GRID_ID789  -3.5903616  0.0590508   -60.801  < 2e-16 ***
DESTIN_GRID_ID803  -0.8712943  0.0577469   -15.088  < 2e-16 ***
DESTIN_GRID_ID804  -0.3470019  0.0563521    -6.158 7.38e-10 ***
DESTIN_GRID_ID805   0.5932965  0.0560452    10.586  < 2e-16 ***
DESTIN_GRID_ID806  -1.2998223  0.0562870   -23.093  < 2e-16 ***
DESTIN_GRID_ID807  -1.2785669  0.0564819   -22.637  < 2e-16 ***
DESTIN_GRID_ID808  -2.6676282  0.0588346   -45.341  < 2e-16 ***
DESTIN_GRID_ID809  -1.4990496  0.0562602   -26.645  < 2e-16 ***
DESTIN_GRID_ID810  -1.8271820  0.0566421   -32.258  < 2e-16 ***
DESTIN_GRID_ID814  -1.2571006  0.0598560   -21.002  < 2e-16 ***
DESTIN_GRID_ID819  -0.1918033  0.0585618    -3.275 0.001056 ** 
DESTIN_GRID_ID824  -0.6529683  0.0577075   -11.315  < 2e-16 ***
DESTIN_GRID_ID826  -0.9534098  0.0563160   -16.930  < 2e-16 ***
DESTIN_GRID_ID827  -1.3245195  0.0563773   -23.494  < 2e-16 ***
DESTIN_GRID_ID828  -1.1575628  0.0562225   -20.589  < 2e-16 ***
DESTIN_GRID_ID829  -1.6104599  0.0566038   -28.451  < 2e-16 ***
DESTIN_GRID_ID830  -3.1384040  0.0579224   -54.183  < 2e-16 ***
DESTIN_GRID_ID831   0.4145913  0.0560471     7.397 1.39e-13 ***
DESTIN_GRID_ID832   0.0310257  0.0561487     0.553 0.580563    
DESTIN_GRID_ID835  -1.6887493  0.0599418   -28.173  < 2e-16 ***
DESTIN_GRID_ID844  -0.9319013  0.0590079   -15.793  < 2e-16 ***
DESTIN_GRID_ID846  -0.9963173  0.0564540   -17.648  < 2e-16 ***
DESTIN_GRID_ID847  -0.2682344  0.0561690    -4.775 1.79e-06 ***
DESTIN_GRID_ID848  -1.5100888  0.0563789   -26.785  < 2e-16 ***
DESTIN_GRID_ID849  -2.1596252  0.0566163   -38.145  < 2e-16 ***
DESTIN_GRID_ID850  -1.3206611  0.0562640   -23.473  < 2e-16 ***
DESTIN_GRID_ID851  -1.9348952  0.0563981   -34.308  < 2e-16 ***
DESTIN_GRID_ID852  -1.9898968  0.0566386   -35.133  < 2e-16 ***
DESTIN_GRID_ID853  -0.9961050  0.0567893   -17.540  < 2e-16 ***
DESTIN_GRID_ID854  -0.9061584  0.0578485   -15.664  < 2e-16 ***
DESTIN_GRID_ID855  -1.8520831  0.0596041   -31.073  < 2e-16 ***
DESTIN_GRID_ID856  -2.4698549  0.0647056   -38.171  < 2e-16 ***
DESTIN_GRID_ID866  -0.1555507  0.0568702    -2.735 0.006234 ** 
DESTIN_GRID_ID867   0.3602993  0.0561664     6.415 1.41e-10 ***
DESTIN_GRID_ID868  -0.1540428  0.0562535    -2.738 0.006174 ** 
DESTIN_GRID_ID869   0.7517731  0.0562241    13.371  < 2e-16 ***
DESTIN_GRID_ID870   0.2474620  0.0560483     4.415 1.01e-05 ***
DESTIN_GRID_ID871   0.1537168  0.0561295     2.739 0.006170 ** 
DESTIN_GRID_ID872  -1.4665389  0.0563199   -26.039  < 2e-16 ***
DESTIN_GRID_ID873  -1.9281371  0.0566803   -34.018  < 2e-16 ***
DESTIN_GRID_ID874  -3.1231058  0.0577038   -54.123  < 2e-16 ***
DESTIN_GRID_ID875  -2.4072672  0.0624294   -38.560  < 2e-16 ***
DESTIN_GRID_ID876  -2.0395547  0.0591755   -34.466  < 2e-16 ***
DESTIN_GRID_ID877  -1.4746559  0.0579124   -25.464  < 2e-16 ***
DESTIN_GRID_ID887  -0.9788959  0.0567172   -17.259  < 2e-16 ***
DESTIN_GRID_ID888  -2.2368867  0.0578984   -38.635  < 2e-16 ***
DESTIN_GRID_ID889  -1.5101365  0.0574799   -26.272  < 2e-16 ***
DESTIN_GRID_ID890  -0.6462163  0.0562094   -11.497  < 2e-16 ***
DESTIN_GRID_ID891  -2.2073141  0.0580577   -38.019  < 2e-16 ***
DESTIN_GRID_ID893  -0.9244803  0.0561603   -16.461  < 2e-16 ***
DESTIN_GRID_ID894  -2.4925492  0.0571450   -43.618  < 2e-16 ***
DESTIN_GRID_ID895  -1.2487944  0.0567282   -22.014  < 2e-16 ***
DESTIN_GRID_ID896  -3.6117316  0.0653811   -55.241  < 2e-16 ***
DESTIN_GRID_ID897  -3.7343065  0.0644059   -57.981  < 2e-16 ***
DESTIN_GRID_ID898  -1.4138578  0.0584902   -24.173  < 2e-16 ***
DESTIN_GRID_ID908  -0.0837106  0.0570438    -1.467 0.142246    
DESTIN_GRID_ID909  -0.9880728  0.0563519   -17.534  < 2e-16 ***
DESTIN_GRID_ID910  -1.9278477  0.0572012   -33.703  < 2e-16 ***
DESTIN_GRID_ID911   0.1462529  0.0561302     2.606 0.009171 ** 
DESTIN_GRID_ID912  -1.6697012  0.0565523   -29.525  < 2e-16 ***
DESTIN_GRID_ID915  -1.5149865  0.0563150   -26.902  < 2e-16 ***
DESTIN_GRID_ID917   0.0353549  0.0562636     0.628 0.529755    
DESTIN_GRID_ID918  -4.1906163  0.0688995   -60.822  < 2e-16 ***
DESTIN_GRID_ID919  -2.4841110  0.0583838   -42.548  < 2e-16 ***
DESTIN_GRID_ID928  -2.1119770  0.0591392   -35.712  < 2e-16 ***
DESTIN_GRID_ID929  -1.2269824  0.0564990   -21.717  < 2e-16 ***
DESTIN_GRID_ID930   0.0383476  0.0561004     0.684 0.494257    
DESTIN_GRID_ID931  -1.4677530  0.0569959   -25.752  < 2e-16 ***
DESTIN_GRID_ID932  -3.1779673  0.0614024   -51.756  < 2e-16 ***
DESTIN_GRID_ID933  -1.1885193  0.0565805   -21.006  < 2e-16 ***
DESTIN_GRID_ID934  -1.3913994  0.0565156   -24.620  < 2e-16 ***
DESTIN_GRID_ID935   0.4443392  0.0560375     7.929 2.20e-15 ***
DESTIN_GRID_ID938  -5.3094721  0.1535341   -34.582  < 2e-16 ***
DESTIN_GRID_ID939  -0.4375241  0.0563749    -7.761 8.43e-15 ***
DESTIN_GRID_ID940  -3.0931600  0.0597890   -51.735  < 2e-16 ***
DESTIN_GRID_ID949  -1.7364126  0.0581113   -29.881  < 2e-16 ***
DESTIN_GRID_ID950   0.2363461  0.0562177     4.204 2.62e-05 ***
DESTIN_GRID_ID951   0.9598964  0.0560401    17.129  < 2e-16 ***
DESTIN_GRID_ID952  -0.5218477  0.0565293    -9.231  < 2e-16 ***
DESTIN_GRID_ID953  -1.0549736  0.0567083   -18.603  < 2e-16 ***
DESTIN_GRID_ID954  -2.9769674  0.0587820   -50.644  < 2e-16 ***
DESTIN_GRID_ID955  -0.2116506  0.0561642    -3.768 0.000164 ***
DESTIN_GRID_ID956  -2.1728800  0.0568062   -38.251  < 2e-16 ***
DESTIN_GRID_ID957  -2.1511697  0.0568220   -37.858  < 2e-16 ***
DESTIN_GRID_ID959  -1.5378313  0.0594190   -25.881  < 2e-16 ***
DESTIN_GRID_ID961  -1.9464937  0.0574001   -33.911  < 2e-16 ***
DESTIN_GRID_ID962   0.1482172  0.0563417     2.631 0.008521 ** 
DESTIN_GRID_ID970  -0.8241167  0.0565588   -14.571  < 2e-16 ***
DESTIN_GRID_ID971  -0.3604223  0.0561710    -6.417 1.39e-10 ***
DESTIN_GRID_ID972  -1.2318410  0.0565068   -21.800  < 2e-16 ***
DESTIN_GRID_ID974  -1.6289433  0.0571234   -28.516  < 2e-16 ***
DESTIN_GRID_ID975  -2.8687534  0.0587360   -48.841  < 2e-16 ***
DESTIN_GRID_ID976  -2.1307348  0.0570392   -37.356  < 2e-16 ***
DESTIN_GRID_ID977  -1.8067564  0.0564145   -32.026  < 2e-16 ***
DESTIN_GRID_ID978  -2.1979616  0.0572052   -38.422  < 2e-16 ***
DESTIN_GRID_ID982  -2.4521675  0.0572001   -42.870  < 2e-16 ***
DESTIN_GRID_ID983   0.3854988  0.0563902     6.836 8.13e-12 ***
DESTIN_GRID_ID984   1.6006054  0.0564586    28.350  < 2e-16 ***
DESTIN_GRID_ID991  -0.3422326  0.0564586    -6.062 1.35e-09 ***
DESTIN_GRID_ID992  -0.5096265  0.0563650    -9.042  < 2e-16 ***
DESTIN_GRID_ID993  -1.8091058  0.0568635   -31.815  < 2e-16 ***
DESTIN_GRID_ID994  -1.8875597  0.0573412   -32.918  < 2e-16 ***
DESTIN_GRID_ID995  -1.2578123  0.0566557   -22.201  < 2e-16 ***
DESTIN_GRID_ID996  -1.8654534  0.0572854   -32.564  < 2e-16 ***
DESTIN_GRID_ID997  -1.5709052  0.0575558   -27.294  < 2e-16 ***
DESTIN_GRID_ID998  -1.2579294  0.0563650   -22.318  < 2e-16 ***
DESTIN_GRID_ID999  -2.4230536  0.0570883   -42.444  < 2e-16 ***
DESTIN_GRID_ID1001 -1.3348870  0.0582946   -22.899  < 2e-16 ***
DESTIN_GRID_ID1003  0.2581340  0.0561061     4.601 4.21e-06 ***
DESTIN_GRID_ID1004 -0.9759816  0.0563017   -17.335  < 2e-16 ***
DESTIN_GRID_ID1011 -0.7830677  0.0573271   -13.660  < 2e-16 ***
DESTIN_GRID_ID1012  0.1608878  0.0565312     2.846 0.004427 ** 
DESTIN_GRID_ID1013 -0.5147373  0.0564276    -9.122  < 2e-16 ***
DESTIN_GRID_ID1014 -2.5324544  0.0588525   -43.031  < 2e-16 ***
DESTIN_GRID_ID1015 -0.0763447  0.0562196    -1.358 0.174472    
DESTIN_GRID_ID1016  0.2622252  0.0561213     4.672 2.98e-06 ***
DESTIN_GRID_ID1018 -2.1182532  0.0574324   -36.883  < 2e-16 ***
DESTIN_GRID_ID1019 -1.3317497  0.0563813   -23.620  < 2e-16 ***
DESTIN_GRID_ID1023 -2.1566969  0.0577398   -37.352  < 2e-16 ***
DESTIN_GRID_ID1024 -0.9819975  0.0563705   -17.420  < 2e-16 ***
DESTIN_GRID_ID1025 -5.7842007  0.1193903   -48.448  < 2e-16 ***
DESTIN_GRID_ID1033  0.0100424  0.0563468     0.178 0.858547    
DESTIN_GRID_ID1034  0.2398906  0.0561859     4.270 1.96e-05 ***
DESTIN_GRID_ID1035  0.1030493  0.0562063     1.833 0.066742 .  
DESTIN_GRID_ID1036  0.2509939  0.0561632     4.469 7.86e-06 ***
DESTIN_GRID_ID1037 -0.9191412  0.0563954   -16.298  < 2e-16 ***
DESTIN_GRID_ID1043 -0.5474252  0.0571175    -9.584  < 2e-16 ***
DESTIN_GRID_ID1045 -1.1615175  0.0563421   -20.615  < 2e-16 ***
DESTIN_GRID_ID1046 -0.7510781  0.0563456   -13.330  < 2e-16 ***
DESTIN_GRID_ID1053  0.5991766  0.0562063    10.660  < 2e-16 ***
DESTIN_GRID_ID1054  0.1710829  0.0562390     3.042 0.002350 ** 
DESTIN_GRID_ID1055 -1.1398465  0.0567515   -20.085  < 2e-16 ***
DESTIN_GRID_ID1056 -1.5001990  0.0572108   -26.222  < 2e-16 ***
DESTIN_GRID_ID1064 -3.7246361  0.1038048   -35.881  < 2e-16 ***
DESTIN_GRID_ID1066 -0.3533560  0.0561663    -6.291 3.15e-10 ***
DESTIN_GRID_ID1067 -5.9066590  0.1534594   -38.490  < 2e-16 ***
DESTIN_GRID_ID1074 -1.5516664  0.0579836   -26.760  < 2e-16 ***
DESTIN_GRID_ID1075 -0.1082659  0.0564311    -1.919 0.055041 .  
DESTIN_GRID_ID1076 -0.6703782  0.0564579   -11.874  < 2e-16 ***
DESTIN_GRID_ID1077 -1.3805449  0.0569790   -24.229  < 2e-16 ***
DESTIN_GRID_ID1079 -0.3812245  0.0563217    -6.769 1.30e-11 ***
DESTIN_GRID_ID1085 -1.8295243  0.0755158   -24.227  < 2e-16 ***
DESTIN_GRID_ID1087 -1.1653632  0.0563758   -20.671  < 2e-16 ***
DESTIN_GRID_ID1088 -0.8386346  0.0563094   -14.893  < 2e-16 ***
DESTIN_GRID_ID1094 -3.1302906  0.0791530   -39.547  < 2e-16 ***
DESTIN_GRID_ID1095 -0.7537453  0.0581875   -12.954  < 2e-16 ***
DESTIN_GRID_ID1096 -0.3548056  0.0584035    -6.075 1.24e-09 ***
DESTIN_GRID_ID1097  0.3201060  0.0561528     5.701 1.19e-08 ***
DESTIN_GRID_ID1098 -2.4151342  0.0607960   -39.725  < 2e-16 ***
DESTIN_GRID_ID1099 -1.1028159  0.0566407   -19.470  < 2e-16 ***
DESTIN_GRID_ID1105  0.8465919  0.0567721    14.912  < 2e-16 ***
DESTIN_GRID_ID1106 -4.3426203  0.1159651   -37.448  < 2e-16 ***
DESTIN_GRID_ID1107 -0.7992071  0.0565435   -14.134  < 2e-16 ***
DESTIN_GRID_ID1108  1.1528038  0.0560536    20.566  < 2e-16 ***
DESTIN_GRID_ID1109 -3.5793644  0.0666008   -53.744  < 2e-16 ***
DESTIN_GRID_ID1116 -0.5009916  0.0566743    -8.840  < 2e-16 ***
DESTIN_GRID_ID1117 -0.2066052  0.0565709    -3.652 0.000260 ***
DESTIN_GRID_ID1118 -2.2193970  0.0594729   -37.318  < 2e-16 ***
DESTIN_GRID_ID1119 -1.5188422  0.0571779   -26.563  < 2e-16 ***
DESTIN_GRID_ID1120 -2.0742291  0.0591059   -35.093  < 2e-16 ***
DESTIN_GRID_ID1129 -1.8175281  0.0566370   -32.091  < 2e-16 ***
DESTIN_GRID_ID1130 -1.0044377  0.0562977   -17.842  < 2e-16 ***
DESTIN_GRID_ID1131  0.2181029  0.0564318     3.865 0.000111 ***
DESTIN_GRID_ID1136  0.6054945  0.0562291    10.768  < 2e-16 ***
DESTIN_GRID_ID1138 -1.8536091  0.0593311   -31.242  < 2e-16 ***
DESTIN_GRID_ID1139 -1.0279872  0.0565425   -18.181  < 2e-16 ***
DESTIN_GRID_ID1141 -0.9886253  0.0566242   -17.459  < 2e-16 ***
DESTIN_GRID_ID1148 -2.0551643  0.0639187   -32.153  < 2e-16 ***
DESTIN_GRID_ID1149 -2.1838464  0.0577837   -37.793  < 2e-16 ***
DESTIN_GRID_ID1150 -1.8166712  0.0564831   -32.163  < 2e-16 ***
DESTIN_GRID_ID1151 -1.0052280  0.0564150   -17.818  < 2e-16 ***
DESTIN_GRID_ID1158 -1.4146204  0.0572999   -24.688  < 2e-16 ***
DESTIN_GRID_ID1159 -1.2932522  0.0568857   -22.734  < 2e-16 ***
DESTIN_GRID_ID1160  0.3283993  0.0561525     5.848 4.96e-09 ***
DESTIN_GRID_ID1171 -0.8067654  0.0563532   -14.316  < 2e-16 ***
DESTIN_GRID_ID1172  0.5133678  0.0560951     9.152  < 2e-16 ***
DESTIN_GRID_ID1173  0.1322312  0.0562564     2.351 0.018748 *  
DESTIN_GRID_ID1174 -2.1193534  0.0692699   -30.596  < 2e-16 ***
DESTIN_GRID_ID1178  0.7873455  0.0561230    14.029  < 2e-16 ***
DESTIN_GRID_ID1179 -0.1734472  0.0562692    -3.082 0.002053 ** 
DESTIN_GRID_ID1180 -0.0630231  0.0562128    -1.121 0.262223    
DESTIN_GRID_ID1181 -1.3080450  0.0567854   -23.035  < 2e-16 ***
DESTIN_GRID_ID1183  0.4512814  0.0561507     8.037 9.21e-16 ***
DESTIN_GRID_ID1190 -1.9087881  0.0623615   -30.608  < 2e-16 ***
DESTIN_GRID_ID1192 -0.8524929  0.0562900   -15.145  < 2e-16 ***
DESTIN_GRID_ID1193 -0.5816547  0.0562729   -10.336  < 2e-16 ***
DESTIN_GRID_ID1194  0.0755808  0.0563466     1.341 0.179805    
DESTIN_GRID_ID1200 -0.5260812  0.0565638    -9.301  < 2e-16 ***
DESTIN_GRID_ID1201 -0.8010814  0.0565873   -14.157  < 2e-16 ***
DESTIN_GRID_ID1203 -0.8844954  0.0566727   -15.607  < 2e-16 ***
DESTIN_GRID_ID1204 -1.0127668  0.0567306   -17.852  < 2e-16 ***
DESTIN_GRID_ID1211 -5.9398656  0.4507528   -13.178  < 2e-16 ***
DESTIN_GRID_ID1214 -1.7834277  0.0567590   -31.421  < 2e-16 ***
DESTIN_GRID_ID1215 -0.9337806  0.0572557   -16.309  < 2e-16 ***
DESTIN_GRID_ID1216 -0.3587273  0.0569401    -6.300 2.97e-10 ***
DESTIN_GRID_ID1220 -0.3196280  0.0563758    -5.670 1.43e-08 ***
DESTIN_GRID_ID1221  0.2535282  0.0561680     4.514 6.37e-06 ***
DESTIN_GRID_ID1222 -0.9442856  0.0575834   -16.399  < 2e-16 ***
DESTIN_GRID_ID1223 -1.6023343  0.0575710   -27.832  < 2e-16 ***
DESTIN_GRID_ID1224 -0.7943410  0.0565812   -14.039  < 2e-16 ***
DESTIN_GRID_ID1231 -3.4210738  0.0847221   -40.380  < 2e-16 ***
DESTIN_GRID_ID1232 -1.3894732  0.0609625   -22.792  < 2e-16 ***
DESTIN_GRID_ID1235 -0.8779162  0.0563343   -15.584  < 2e-16 ***
DESTIN_GRID_ID1236 -0.9440298  0.0566605   -16.661  < 2e-16 ***
DESTIN_GRID_ID1241 -1.6143537  0.0574224   -28.114  < 2e-16 ***
DESTIN_GRID_ID1242 -1.1434358  0.0568433   -20.116  < 2e-16 ***
DESTIN_GRID_ID1243  0.0453269  0.0562358     0.806 0.420234    
DESTIN_GRID_ID1246 -1.2791883  0.0568438   -22.504  < 2e-16 ***
DESTIN_GRID_ID1256 -1.6562870  0.0567375   -29.192  < 2e-16 ***
DESTIN_GRID_ID1257 -0.4477355  0.0563744    -7.942 1.99e-15 ***
DESTIN_GRID_ID1258  0.5295764  0.0562633     9.412  < 2e-16 ***
DESTIN_GRID_ID1262 -1.9177947  0.0579263   -33.107  < 2e-16 ***
DESTIN_GRID_ID1263  0.4310573  0.0561086     7.683 1.56e-14 ***
DESTIN_GRID_ID1264 -0.3639379  0.0565270    -6.438 1.21e-10 ***
DESTIN_GRID_ID1265 -0.4531590  0.0566202    -8.003 1.21e-15 ***
DESTIN_GRID_ID1266 -0.4075455  0.0564505    -7.220 5.22e-13 ***
DESTIN_GRID_ID1267 -2.0690474  0.0594308   -34.814  < 2e-16 ***
DESTIN_GRID_ID1272 -5.6181932  0.1312624   -42.801  < 2e-16 ***
DESTIN_GRID_ID1273 -0.4750842  0.0564814    -8.411  < 2e-16 ***
DESTIN_GRID_ID1277 -0.3444119  0.0562065    -6.128 8.92e-10 ***
DESTIN_GRID_ID1278 -0.6294525  0.0563669   -11.167  < 2e-16 ***
DESTIN_GRID_ID1283  0.8661871  0.0561086    15.438  < 2e-16 ***
DESTIN_GRID_ID1284  0.4205212  0.0561497     7.489 6.93e-14 ***
DESTIN_GRID_ID1285  0.1702762  0.0562057     3.030 0.002449 ** 
DESTIN_GRID_ID1286 -0.7085203  0.0569431   -12.443  < 2e-16 ***
DESTIN_GRID_ID1289 -3.1104205  0.0691251   -44.997  < 2e-16 ***
DESTIN_GRID_ID1293 -4.6804112  0.1038061   -45.088  < 2e-16 ***
DESTIN_GRID_ID1294 -0.6216461  0.0567664   -10.951  < 2e-16 ***
DESTIN_GRID_ID1295 -3.1182779  0.0616854   -50.551  < 2e-16 ***
DESTIN_GRID_ID1298 -1.2194422  0.0564888   -21.587  < 2e-16 ***
DESTIN_GRID_ID1299 -1.4234128  0.0568379   -25.043  < 2e-16 ***
DESTIN_GRID_ID1304 -0.0876349  0.0563309    -1.556 0.119775    
DESTIN_GRID_ID1305 -0.0798973  0.0561884    -1.422 0.155039    
DESTIN_GRID_ID1307 -1.3165319  0.0592489   -22.220  < 2e-16 ***
DESTIN_GRID_ID1308 -0.1656560  0.0562935    -2.943 0.003253 ** 
DESTIN_GRID_ID1310 -5.0734194  0.2305200   -22.009  < 2e-16 ***
DESTIN_GRID_ID1316 -2.4052459  0.0582863   -41.266  < 2e-16 ***
DESTIN_GRID_ID1317 -2.6572243  0.0578849   -45.905  < 2e-16 ***
DESTIN_GRID_ID1318 -2.7987423  0.0588145   -47.586  < 2e-16 ***
DESTIN_GRID_ID1319  0.1659234  0.0561396     2.956 0.003121 ** 
DESTIN_GRID_ID1320 -1.7880214  0.0576015   -31.041  < 2e-16 ***
DESTIN_GRID_ID1324 -0.2657882  0.0594514    -4.471 7.80e-06 ***
DESTIN_GRID_ID1325 -2.1853939  0.0584404   -37.395  < 2e-16 ***
DESTIN_GRID_ID1326 -0.5201287  0.0563639    -9.228  < 2e-16 ***
DESTIN_GRID_ID1327 -0.2459552  0.0562816    -4.370 1.24e-05 ***
DESTIN_GRID_ID1328 -0.4391663  0.0564455    -7.780 7.23e-15 ***
DESTIN_GRID_ID1329 -0.6477969  0.0568476   -11.395  < 2e-16 ***
DESTIN_GRID_ID1330  0.6999003  0.0562364    12.446  < 2e-16 ***
DESTIN_GRID_ID1331 -5.9102750  0.2940577   -20.099  < 2e-16 ***
DESTIN_GRID_ID1333 -1.9915794  0.0586096   -33.980  < 2e-16 ***
DESTIN_GRID_ID1334 -1.6336329  0.0578182   -28.255  < 2e-16 ***
DESTIN_GRID_ID1335  0.0889970  0.0563009     1.581 0.113938    
DESTIN_GRID_ID1336 -3.1584292  0.0740438   -42.656  < 2e-16 ***
DESTIN_GRID_ID1337 -3.5649388  0.0660801   -53.949  < 2e-16 ***
DESTIN_GRID_ID1338 -3.8426377  0.0630062   -60.988  < 2e-16 ***
DESTIN_GRID_ID1339 -0.2611193  0.0561682    -4.649 3.34e-06 ***
DESTIN_GRID_ID1340 -1.6971303  0.0570118   -29.768  < 2e-16 ***
DESTIN_GRID_ID1341 -5.3161249  0.1106260   -48.055  < 2e-16 ***
DESTIN_GRID_ID1346 -0.3876053  0.0565727    -6.851 7.31e-12 ***
DESTIN_GRID_ID1347  0.8126757  0.0561324    14.478  < 2e-16 ***
DESTIN_GRID_ID1348 -0.6542970  0.0564856   -11.583  < 2e-16 ***
DESTIN_GRID_ID1349  0.3507531  0.0562830     6.232 4.61e-10 ***
DESTIN_GRID_ID1350 -1.2918293  0.0577523   -22.368  < 2e-16 ***
DESTIN_GRID_ID1353 -0.7050065  0.0565042   -12.477  < 2e-16 ***
DESTIN_GRID_ID1354 -1.3545496  0.0569479   -23.786  < 2e-16 ***
DESTIN_GRID_ID1355 -1.7433100  0.0572966   -30.426  < 2e-16 ***
DESTIN_GRID_ID1357 -2.2115145  0.0593427   -37.267  < 2e-16 ***
DESTIN_GRID_ID1358 -0.0981571  0.0561471    -1.748 0.080427 .  
DESTIN_GRID_ID1359 -1.3860974  0.0563881   -24.581  < 2e-16 ***
DESTIN_GRID_ID1360 -1.5914002  0.0564877   -28.173  < 2e-16 ***
DESTIN_GRID_ID1361 -1.5840183  0.0569427   -27.818  < 2e-16 ***
DESTIN_GRID_ID1362 -2.7457492  0.0627656   -43.746  < 2e-16 ***
DESTIN_GRID_ID1368 -1.3258961  0.0569399   -23.286  < 2e-16 ***
DESTIN_GRID_ID1369 -1.1314156  0.0567631   -19.932  < 2e-16 ***
DESTIN_GRID_ID1370  0.4538584  0.0561289     8.086 6.17e-16 ***
DESTIN_GRID_ID1371 -0.3861593  0.0564962    -6.835 8.19e-12 ***
DESTIN_GRID_ID1372 -0.3948861  0.0564186    -6.999 2.57e-12 ***
DESTIN_GRID_ID1373 -3.4333511  0.0669601   -51.275  < 2e-16 ***
DESTIN_GRID_ID1374 -2.2100683  0.0582405   -37.947  < 2e-16 ***
DESTIN_GRID_ID1375 -0.3718085  0.0565545    -6.574 4.89e-11 ***
DESTIN_GRID_ID1376 -2.0078878  0.0585685   -34.283  < 2e-16 ***
DESTIN_GRID_ID1379 -5.3077460  0.0957359   -55.442  < 2e-16 ***
DESTIN_GRID_ID1380  0.4951456  0.0560773     8.830  < 2e-16 ***
DESTIN_GRID_ID1381  0.6728320  0.0560667    12.001  < 2e-16 ***
DESTIN_GRID_ID1382 -0.1552029  0.0562204    -2.761 0.005769 ** 
DESTIN_GRID_ID1383 -2.8691092  0.0594940   -48.225  < 2e-16 ***
DESTIN_GRID_ID1388 -0.5533889  0.0564564    -9.802  < 2e-16 ***
DESTIN_GRID_ID1389 -0.7944839  0.0565827   -14.041  < 2e-16 ***
DESTIN_GRID_ID1390 -0.4527664  0.0564771    -8.017 1.09e-15 ***
DESTIN_GRID_ID1391  0.2669355  0.0562247     4.748 2.06e-06 ***
DESTIN_GRID_ID1392 -0.2512642  0.0571824    -4.394 1.11e-05 ***
DESTIN_GRID_ID1393 -0.9822304  0.0566441   -17.340  < 2e-16 ***
DESTIN_GRID_ID1394 -0.6574881  0.0563707   -11.664  < 2e-16 ***
DESTIN_GRID_ID1395 -1.1231730  0.0565383   -19.866  < 2e-16 ***
DESTIN_GRID_ID1396 -0.3667290  0.0562640    -6.518 7.12e-11 ***
DESTIN_GRID_ID1397 -1.4807556  0.0566947   -26.118  < 2e-16 ***
DESTIN_GRID_ID1398 -1.7487290  0.0580777   -30.110  < 2e-16 ***
DESTIN_GRID_ID1400 -2.2290926  0.0571990   -38.971  < 2e-16 ***
DESTIN_GRID_ID1401 -0.4882436  0.0561243    -8.699  < 2e-16 ***
DESTIN_GRID_ID1402 -1.2149066  0.0563081   -21.576  < 2e-16 ***
DESTIN_GRID_ID1404 -1.8917759  0.0619350   -30.545  < 2e-16 ***
DESTIN_GRID_ID1410 -0.0009718  0.0562397    -0.017 0.986213    
DESTIN_GRID_ID1411 -0.4239504  0.0565598    -7.496 6.60e-14 ***
DESTIN_GRID_ID1412  0.1317093  0.0561818     2.344 0.019061 *  
DESTIN_GRID_ID1413 -0.5240100  0.0564109    -9.289  < 2e-16 ***
DESTIN_GRID_ID1414 -0.5897569  0.0563292   -10.470  < 2e-16 ***
DESTIN_GRID_ID1415 -0.3048837  0.0562788    -5.417 6.05e-08 ***
DESTIN_GRID_ID1416 -0.8467235  0.0564766   -14.992  < 2e-16 ***
DESTIN_GRID_ID1417 -0.6773493  0.0562741   -12.037  < 2e-16 ***
DESTIN_GRID_ID1418 -0.7729427  0.0563188   -13.724  < 2e-16 ***
DESTIN_GRID_ID1419 -1.1073137  0.0565477   -19.582  < 2e-16 ***
DESTIN_GRID_ID1422 -1.5938051  0.0563860   -28.266  < 2e-16 ***
DESTIN_GRID_ID1423 -1.1105984  0.0562944   -19.728  < 2e-16 ***
DESTIN_GRID_ID1430  0.2283646  0.0562506     4.060 4.91e-05 ***
DESTIN_GRID_ID1431  0.4990108  0.0561450     8.888  < 2e-16 ***
DESTIN_GRID_ID1432  0.2135470  0.0561585     3.803 0.000143 ***
DESTIN_GRID_ID1433 -0.6528942  0.0568942   -11.476  < 2e-16 ***
DESTIN_GRID_ID1434  0.3227479  0.0561593     5.747 9.08e-09 ***
DESTIN_GRID_ID1435 -0.2265605  0.0562029    -4.031 5.55e-05 ***
DESTIN_GRID_ID1436 -1.5437749  0.0570633   -27.054  < 2e-16 ***
DESTIN_GRID_ID1437 -0.9315129  0.0564035   -16.515  < 2e-16 ***
DESTIN_GRID_ID1438 -0.4321235  0.0561737    -7.693 1.44e-14 ***
DESTIN_GRID_ID1439  0.3953123  0.0561093     7.045 1.85e-12 ***
DESTIN_GRID_ID1440 -0.4629855  0.0564584    -8.200 2.39e-16 ***
DESTIN_GRID_ID1442 -3.4994151  0.0594307   -58.882  < 2e-16 ***
DESTIN_GRID_ID1443 -1.5163102  0.0563694   -26.900  < 2e-16 ***
DESTIN_GRID_ID1444 -0.4788331  0.0563774    -8.493  < 2e-16 ***
DESTIN_GRID_ID1452  0.9266210  0.0560856    16.522  < 2e-16 ***
DESTIN_GRID_ID1453 -0.0533479  0.0562841    -0.948 0.343214    
DESTIN_GRID_ID1454 -1.0656983  0.0574922   -18.536  < 2e-16 ***
DESTIN_GRID_ID1455 -0.4472133  0.0564955    -7.916 2.45e-15 ***
DESTIN_GRID_ID1456 -0.4868587  0.0563386    -8.642  < 2e-16 ***
DESTIN_GRID_ID1457  0.0589720  0.0562086     1.049 0.294103    
DESTIN_GRID_ID1458  0.9898239  0.0560540    17.658  < 2e-16 ***
DESTIN_GRID_ID1459 -1.7974853  0.0567280   -31.686  < 2e-16 ***
DESTIN_GRID_ID1460 -0.6096443  0.0561993   -10.848  < 2e-16 ***
DESTIN_GRID_ID1461 -0.6872087  0.0564413   -12.176  < 2e-16 ***
DESTIN_GRID_ID1464 -1.6204356  0.0565117   -28.674  < 2e-16 ***
DESTIN_GRID_ID1465 -2.5452261  0.0573380   -44.390  < 2e-16 ***
DESTIN_GRID_ID1472 -0.1432334  0.0565364    -2.533 0.011294 *  
DESTIN_GRID_ID1473  0.7272539  0.0561232    12.958  < 2e-16 ***
DESTIN_GRID_ID1474  0.4292917  0.0561106     7.651 2.00e-14 ***
DESTIN_GRID_ID1475 -0.0038629  0.0562030    -0.069 0.945203    
DESTIN_GRID_ID1476 -0.8527908  0.0565243   -15.087  < 2e-16 ***
DESTIN_GRID_ID1477  0.8775866  0.0560465    15.658  < 2e-16 ***
DESTIN_GRID_ID1478 -0.7021859  0.0562595   -12.481  < 2e-16 ***
DESTIN_GRID_ID1479 -1.4706072  0.0565147   -26.022  < 2e-16 ***
DESTIN_GRID_ID1480  0.7411403  0.0560534    13.222  < 2e-16 ***
DESTIN_GRID_ID1481 -0.9387362  0.0564524   -16.629  < 2e-16 ***
DESTIN_GRID_ID1482  0.2512082  0.0562343     4.467 7.93e-06 ***
DESTIN_GRID_ID1485 -2.9470635  0.0577208   -51.057  < 2e-16 ***
DESTIN_GRID_ID1494  0.5556617  0.0561667     9.893  < 2e-16 ***
DESTIN_GRID_ID1495 -0.4186694  0.0563618    -7.428 1.10e-13 ***
DESTIN_GRID_ID1496  0.3874791  0.0561216     6.904 5.05e-12 ***
DESTIN_GRID_ID1497 -0.9130047  0.0565917   -16.133  < 2e-16 ***
DESTIN_GRID_ID1498 -0.7721436  0.0564215   -13.685  < 2e-16 ***
DESTIN_GRID_ID1499 -0.5024442  0.0561945    -8.941  < 2e-16 ***
DESTIN_GRID_ID1500 -0.8005770  0.0566520   -14.131  < 2e-16 ***
DESTIN_GRID_ID1501 -0.1748231  0.0561380    -3.114 0.001845 ** 
DESTIN_GRID_ID1502 -0.3362150  0.0561761    -5.985 2.16e-09 ***
DESTIN_GRID_ID1506 -3.1937028  0.0885169   -36.080  < 2e-16 ***
DESTIN_GRID_ID1515 -0.3522286  0.0579455    -6.079 1.21e-09 ***
DESTIN_GRID_ID1516  0.4614424  0.0561177     8.223  < 2e-16 ***
DESTIN_GRID_ID1517 -0.4434976  0.0564735    -7.853 4.06e-15 ***
DESTIN_GRID_ID1518 -1.2541708  0.0566980   -22.120  < 2e-16 ***
DESTIN_GRID_ID1519 -1.1068633  0.0566969   -19.522  < 2e-16 ***
DESTIN_GRID_ID1520 -1.2737127  0.0564660   -22.557  < 2e-16 ***
DESTIN_GRID_ID1521 -1.2197456  0.0565024   -21.587  < 2e-16 ***
DESTIN_GRID_ID1522 -0.6325252  0.0562492   -11.245  < 2e-16 ***
DESTIN_GRID_ID1523  0.7462053  0.0561883    13.280  < 2e-16 ***
DESTIN_GRID_ID1524 -1.6785625  0.0574741   -29.206  < 2e-16 ***
DESTIN_GRID_ID1527 -4.2477447  0.0668694   -63.523  < 2e-16 ***
DESTIN_GRID_ID1535 -0.8075723  0.0907256    -8.901  < 2e-16 ***
DESTIN_GRID_ID1536 -1.8565644  0.0634253   -29.272  < 2e-16 ***
DESTIN_GRID_ID1537  0.0079073  0.0563749     0.140 0.888452    
DESTIN_GRID_ID1538 -0.2546563  0.0562808    -4.525 6.05e-06 ***
DESTIN_GRID_ID1539 -0.3036225  0.0562139    -5.401 6.62e-08 ***
DESTIN_GRID_ID1540 -1.0105542  0.0563701   -17.927  < 2e-16 ***
DESTIN_GRID_ID1541 -0.2492053  0.0565718    -4.405 1.06e-05 ***
DESTIN_GRID_ID1542 -1.0032325  0.0567731   -17.671  < 2e-16 ***
DESTIN_GRID_ID1543 -1.4649376  0.0631188   -23.209  < 2e-16 ***
DESTIN_GRID_ID1544 -1.2510803  0.0568373   -22.012  < 2e-16 ***
DESTIN_GRID_ID1547 -1.9046758  0.0580091   -32.834  < 2e-16 ***
DESTIN_GRID_ID1556 -0.8299099  0.0924578    -8.976  < 2e-16 ***
DESTIN_GRID_ID1557 -1.4877418  0.0599512   -24.816  < 2e-16 ***
DESTIN_GRID_ID1558 -0.3812578  0.0576860    -6.609 3.86e-11 ***
DESTIN_GRID_ID1559  0.2568606  0.0561412     4.575 4.76e-06 ***
DESTIN_GRID_ID1560  0.2285186  0.0561302     4.071 4.68e-05 ***
DESTIN_GRID_ID1561 -0.6469253  0.0564434   -11.461  < 2e-16 ***
DESTIN_GRID_ID1562 -2.5931596  0.0584815   -44.342  < 2e-16 ***
DESTIN_GRID_ID1563 -1.7848950  0.0568657   -31.388  < 2e-16 ***
DESTIN_GRID_ID1564 -1.3914700  0.0566435   -24.565  < 2e-16 ***
DESTIN_GRID_ID1565 -0.7999643  0.0563626   -14.193  < 2e-16 ***
DESTIN_GRID_ID1566 -2.6013038  0.0585933   -44.396  < 2e-16 ***
DESTIN_GRID_ID1567 -2.4443531  0.0589217   -41.485  < 2e-16 ***
DESTIN_GRID_ID1568 -1.3997901  0.0571819   -24.480  < 2e-16 ***
DESTIN_GRID_ID1578 -1.3317668  0.1247783   -10.673  < 2e-16 ***
DESTIN_GRID_ID1580 -2.6312253  0.0633130   -41.559  < 2e-16 ***
DESTIN_GRID_ID1581 -0.2057464  0.0562240    -3.659 0.000253 ***
DESTIN_GRID_ID1582 -0.0366758  0.0561412    -0.653 0.513576    
DESTIN_GRID_ID1583 -1.9573537  0.0602887   -32.466  < 2e-16 ***
DESTIN_GRID_ID1584 -1.6683357  0.0574309   -29.049  < 2e-16 ***
DESTIN_GRID_ID1585 -1.3375310  0.0567300   -23.577  < 2e-16 ***
DESTIN_GRID_ID1586 -0.5228187  0.0562644    -9.292  < 2e-16 ***
DESTIN_GRID_ID1589 -2.8095635  0.0603241   -46.574  < 2e-16 ***
DESTIN_GRID_ID1590 -1.5912652  0.0576689   -27.593  < 2e-16 ***
DESTIN_GRID_ID1600 -0.7719995  0.0583734   -13.225  < 2e-16 ***
DESTIN_GRID_ID1601 -1.1343975  0.0565247   -20.069  < 2e-16 ***
DESTIN_GRID_ID1602 -0.8012356  0.0564654   -14.190  < 2e-16 ***
DESTIN_GRID_ID1603  0.3253909  0.0561394     5.796 6.79e-09 ***
DESTIN_GRID_ID1604 -1.9584876  0.0571334   -34.279  < 2e-16 ***
DESTIN_GRID_ID1605 -0.9184125  0.0563231   -16.306  < 2e-16 ***
DESTIN_GRID_ID1606 -1.7694531  0.0580690   -30.472  < 2e-16 ***
DESTIN_GRID_ID1607 -0.3420117  0.0561627    -6.090 1.13e-09 ***
DESTIN_GRID_ID1608 -1.1995027  0.0564174   -21.261  < 2e-16 ***
DESTIN_GRID_ID1609 -0.4067396  0.0562434    -7.232 4.77e-13 ***
DESTIN_GRID_ID1610 -2.5602787  0.0625845   -40.909  < 2e-16 ***
DESTIN_GRID_ID1622 -0.5307141  0.0574529    -9.237  < 2e-16 ***
DESTIN_GRID_ID1623 -0.0941558  0.0561634    -1.676 0.093648 .  
DESTIN_GRID_ID1624  0.4629904  0.0561303     8.248  < 2e-16 ***
DESTIN_GRID_ID1625 -0.4570430  0.0563072    -8.117 4.78e-16 ***
DESTIN_GRID_ID1626  1.2170957  0.0560377    21.719  < 2e-16 ***
DESTIN_GRID_ID1627 -1.8811894  0.0567651   -33.140  < 2e-16 ***
DESTIN_GRID_ID1628  0.1426169  0.0561152     2.542 0.011038 *  
DESTIN_GRID_ID1629 -2.9468920  0.0582788   -50.565  < 2e-16 ***
DESTIN_GRID_ID1630 -2.5444327  0.0574015   -44.327  < 2e-16 ***
DESTIN_GRID_ID1631 -2.7063910  0.0588246   -46.008  < 2e-16 ***
DESTIN_GRID_ID1642 -2.8422322  0.0654119   -43.451  < 2e-16 ***
DESTIN_GRID_ID1643 -0.5850771  0.0563283   -10.387  < 2e-16 ***
DESTIN_GRID_ID1644 -0.5786860  0.0565944   -10.225  < 2e-16 ***
DESTIN_GRID_ID1645 -0.7519588  0.0563930   -13.334  < 2e-16 ***
DESTIN_GRID_ID1646 -0.4625165  0.0565860    -8.174 2.99e-16 ***
DESTIN_GRID_ID1647 -1.2365808  0.0563769   -21.934  < 2e-16 ***
DESTIN_GRID_ID1648 -1.1033626  0.0563011   -19.598  < 2e-16 ***
DESTIN_GRID_ID1649 -0.5813824  0.0561639   -10.352  < 2e-16 ***
DESTIN_GRID_ID1650 -1.5115035  0.0565587   -26.724  < 2e-16 ***
DESTIN_GRID_ID1664 -5.0505052  0.1428160   -35.364  < 2e-16 ***
DESTIN_GRID_ID1665  0.0158901  0.0561500     0.283 0.777181    
DESTIN_GRID_ID1666  0.0577189  0.0561440     1.028 0.303926    
DESTIN_GRID_ID1667 -0.6540740  0.0578912   -11.298  < 2e-16 ***
DESTIN_GRID_ID1668 -1.2237500  0.0564655   -21.673  < 2e-16 ***
DESTIN_GRID_ID1670 -0.7326496  0.0561840   -13.040  < 2e-16 ***
DESTIN_GRID_ID1671 -1.3128145  0.0573097   -22.907  < 2e-16 ***
DESTIN_GRID_ID1672 -2.3117827  0.0575291   -40.185  < 2e-16 ***
DESTIN_GRID_ID1684 -0.2525194  0.0567523    -4.449 8.61e-06 ***
DESTIN_GRID_ID1685 -1.4936332  0.0568481   -26.274  < 2e-16 ***
DESTIN_GRID_ID1686 -0.6041017  0.0563027   -10.730  < 2e-16 ***
DESTIN_GRID_ID1687 -0.3463669  0.0564337    -6.138 8.38e-10 ***
DESTIN_GRID_ID1688 -1.1541720  0.0564644   -20.441  < 2e-16 ***
DESTIN_GRID_ID1689 -1.9162282  0.0569737   -33.634  < 2e-16 ***
DESTIN_GRID_ID1690 -2.6258444  0.0577365   -45.480  < 2e-16 ***
DESTIN_GRID_ID1691 -0.6372082  0.0561745   -11.343  < 2e-16 ***
DESTIN_GRID_ID1692 -2.7295869  0.0580745   -47.001  < 2e-16 ***
DESTIN_GRID_ID1706 -0.7213099  0.0565873   -12.747  < 2e-16 ***
DESTIN_GRID_ID1707 -1.5162920  0.0566952   -26.745  < 2e-16 ***
DESTIN_GRID_ID1708 -0.9197583  0.0564059   -16.306  < 2e-16 ***
DESTIN_GRID_ID1709 -0.1623875  0.0561933    -2.890 0.003855 ** 
DESTIN_GRID_ID1710 -0.3449991  0.0562248    -6.136 8.46e-10 ***
DESTIN_GRID_ID1711  0.1148760  0.0561152     2.047 0.040644 *  
DESTIN_GRID_ID1712 -0.8012884  0.0561873   -14.261  < 2e-16 ***
DESTIN_GRID_ID1713 -3.1775767  0.0584388   -54.374  < 2e-16 ***
DESTIN_GRID_ID1714 -1.8678712  0.0567284   -32.927  < 2e-16 ***
DESTIN_GRID_ID1727 -0.2392986  0.0562932    -4.251 2.13e-05 ***
DESTIN_GRID_ID1728 -0.2182195  0.0561916    -3.883 0.000103 ***
DESTIN_GRID_ID1729 -0.1080958  0.0561681    -1.925 0.054291 .  
DESTIN_GRID_ID1730 -1.0988256  0.0566331   -19.403  < 2e-16 ***
DESTIN_GRID_ID1731 -0.2765625  0.0561834    -4.922 8.54e-07 ***
DESTIN_GRID_ID1732 -0.9576790  0.0562249   -17.033  < 2e-16 ***
DESTIN_GRID_ID1733 -2.1257355  0.0566991   -37.491  < 2e-16 ***
DESTIN_GRID_ID1734 -0.9176593  0.0562206   -16.322  < 2e-16 ***
DESTIN_GRID_ID1735 -1.7634137  0.0583526   -30.220  < 2e-16 ***
DESTIN_GRID_ID1748 -1.2815920  0.0568306   -22.551  < 2e-16 ***
DESTIN_GRID_ID1749 -0.0846258  0.0561529    -1.507 0.131795    
DESTIN_GRID_ID1750 -0.1015886  0.0561646    -1.809 0.070488 .  
DESTIN_GRID_ID1751 -0.5491641  0.0563599    -9.744  < 2e-16 ***
DESTIN_GRID_ID1753 -0.3839534  0.0561824    -6.834 8.25e-12 ***
DESTIN_GRID_ID1754  0.4581878  0.0560575     8.174 3.00e-16 ***
DESTIN_GRID_ID1755 -0.3376096  0.0561126    -6.017 1.78e-09 ***
DESTIN_GRID_ID1756 -1.4143677  0.0563141   -25.116  < 2e-16 ***
DESTIN_GRID_ID1757 -3.7105091  0.0606581   -61.171  < 2e-16 ***
DESTIN_GRID_ID1769 -0.5480300  0.0563451    -9.726  < 2e-16 ***
DESTIN_GRID_ID1770 -0.8141407  0.0566426   -14.373  < 2e-16 ***
DESTIN_GRID_ID1771 -0.0151404  0.0562424    -0.269 0.787777    
DESTIN_GRID_ID1772  1.0894845  0.0564628    19.296  < 2e-16 ***
DESTIN_GRID_ID1774 -1.5350428  0.0564650   -27.186  < 2e-16 ***
DESTIN_GRID_ID1775 -1.9571028  0.0565803   -34.590  < 2e-16 ***
DESTIN_GRID_ID1776  0.2338752  0.0560669     4.171 3.03e-05 ***
DESTIN_GRID_ID1777 -1.9401201  0.0565585   -34.303  < 2e-16 ***
DESTIN_GRID_ID1778 -2.8691781  0.0605517   -47.384  < 2e-16 ***
DESTIN_GRID_ID1790 -0.0130180  0.0562617    -0.231 0.817018    
DESTIN_GRID_ID1791 -0.6760947  0.0564001   -11.987  < 2e-16 ***
DESTIN_GRID_ID1792 -0.3916131  0.0564887    -6.933 4.13e-12 ***
DESTIN_GRID_ID1793 -0.4101186  0.0563109    -7.283 3.26e-13 ***
DESTIN_GRID_ID1794  1.4019396  0.0565021    24.812  < 2e-16 ***
DESTIN_GRID_ID1795 -2.8587225  0.0599622   -47.675  < 2e-16 ***
DESTIN_GRID_ID1796 -0.8668181  0.0562598   -15.407  < 2e-16 ***
DESTIN_GRID_ID1797 -1.2938850  0.0562880   -22.987  < 2e-16 ***
DESTIN_GRID_ID1798 -1.2151999  0.0562592   -21.600  < 2e-16 ***
DESTIN_GRID_ID1799 -2.1646019  0.0568101   -38.102  < 2e-16 ***
DESTIN_GRID_ID1800 -4.2838114  0.0860409   -49.788  < 2e-16 ***
DESTIN_GRID_ID1811 -1.0537780  0.0566797   -18.592  < 2e-16 ***
DESTIN_GRID_ID1812  0.3848652  0.0560969     6.861 6.85e-12 ***
DESTIN_GRID_ID1813  0.6162226  0.0560849    10.987  < 2e-16 ***
DESTIN_GRID_ID1817 -2.7036680  0.0577275   -46.835  < 2e-16 ***
DESTIN_GRID_ID1818 -1.6075036  0.0563238   -28.540  < 2e-16 ***
DESTIN_GRID_ID1819  0.0617289  0.0560815     1.101 0.271028    
DESTIN_GRID_ID1820 -4.6282323  0.0758112   -61.049  < 2e-16 ***
DESTIN_GRID_ID1832  0.1606066  0.0561946     2.858 0.004263 ** 
DESTIN_GRID_ID1833 -1.0937429  0.0565078   -19.356  < 2e-16 ***
DESTIN_GRID_ID1834 -1.0764524  0.0564304   -19.076  < 2e-16 ***
DESTIN_GRID_ID1835 -0.9856791  0.0565354   -17.435  < 2e-16 ***
DESTIN_GRID_ID1837 -1.1248297  0.0577602   -19.474  < 2e-16 ***
DESTIN_GRID_ID1839 -2.7767471  0.0576561   -48.160  < 2e-16 ***
DESTIN_GRID_ID1840  0.1371328  0.0560917     2.445 0.014493 *  
DESTIN_GRID_ID1841 -3.7681136  0.0627643   -60.036  < 2e-16 ***
DESTIN_GRID_ID1842 -1.2528831  0.0589110   -21.267  < 2e-16 ***
DESTIN_GRID_ID1853 -0.5788568  0.0563128   -10.279  < 2e-16 ***
DESTIN_GRID_ID1854 -0.4160452  0.0562603    -7.395 1.41e-13 ***
DESTIN_GRID_ID1855 -0.0191852  0.0561897    -0.341 0.732776    
DESTIN_GRID_ID1858  0.0414177  0.0566256     0.731 0.464516    
DESTIN_GRID_ID1860 -2.1310973  0.0602292   -35.383  < 2e-16 ***
DESTIN_GRID_ID1861 -1.3952244  0.0563434   -24.763  < 2e-16 ***
DESTIN_GRID_ID1874 -1.0855100  0.0569935   -19.046  < 2e-16 ***
DESTIN_GRID_ID1875 -2.8574722  0.0608777   -46.938  < 2e-16 ***
DESTIN_GRID_ID1876 -1.5313718  0.0612441   -25.004  < 2e-16 ***
DESTIN_GRID_ID1877 -0.2312845  0.0562271    -4.113 3.90e-05 ***
DESTIN_GRID_ID1880 -0.8847918  0.0577689   -15.316  < 2e-16 ***
DESTIN_GRID_ID1882 -1.4881091  0.0563970   -26.386  < 2e-16 ***
DESTIN_GRID_ID1883 -2.6017954  0.0600900   -43.298  < 2e-16 ***
DESTIN_GRID_ID1895 -0.1139929  0.0562323    -2.027 0.042644 *  
DESTIN_GRID_ID1896 -1.2466086  0.0565832   -22.031  < 2e-16 ***
DESTIN_GRID_ID1897 -2.0829288  0.0575077   -36.220  < 2e-16 ***
DESTIN_GRID_ID1898 -2.4278095  0.0615841   -39.423  < 2e-16 ***
DESTIN_GRID_ID1901 -1.4093963  0.0596240   -23.638  < 2e-16 ***
DESTIN_GRID_ID1903 -3.0379875  0.0592725   -51.255  < 2e-16 ***
DESTIN_GRID_ID1917 -1.4581742  0.0568565   -25.647  < 2e-16 ***
DESTIN_GRID_ID1918 -0.2412144  0.0564184    -4.275 1.91e-05 ***
DESTIN_GRID_ID1919 -0.1151776  0.0562051    -2.049 0.040439 *  
DESTIN_GRID_ID1922 -0.1789836  0.0570040    -3.140 0.001690 ** 
DESTIN_GRID_ID1924 -3.2785666  0.0608948   -53.840  < 2e-16 ***
DESTIN_GRID_ID1937 -0.7695804  0.0565468   -13.610  < 2e-16 ***
DESTIN_GRID_ID1938 -0.0194693  0.0561885    -0.346 0.728968    
DESTIN_GRID_ID1939 -1.3027496  0.0567805   -22.944  < 2e-16 ***
DESTIN_GRID_ID1942 -1.5342346  0.0591851   -25.923  < 2e-16 ***
DESTIN_GRID_ID1959 -1.2667483  0.0569344   -22.249  < 2e-16 ***
DESTIN_GRID_ID1960  1.0856630  0.0560463    19.371  < 2e-16 ***
DESTIN_GRID_ID1961 -1.4236741  0.0569174   -25.013  < 2e-16 ***
DESTIN_GRID_ID1962 -0.6072145  0.0563446   -10.777  < 2e-16 ***
DESTIN_GRID_ID1964  0.1040360  0.0571538     1.820 0.068716 .  
DESTIN_GRID_ID1979 -0.7365231  0.0566393   -13.004  < 2e-16 ***
DESTIN_GRID_ID1980 -1.0450805  0.0564471   -18.514  < 2e-16 ***
DESTIN_GRID_ID1981 -1.0952301  0.0565034   -19.383  < 2e-16 ***
DESTIN_GRID_ID1982 -0.6022679  0.0565705   -10.646  < 2e-16 ***
DESTIN_GRID_ID1983 -0.7476838  0.0563617   -13.266  < 2e-16 ***
DESTIN_GRID_ID1984 -0.5719567  0.0563455   -10.151  < 2e-16 ***
DESTIN_GRID_ID1985 -0.4486702  0.0563039    -7.969 1.60e-15 ***
DESTIN_GRID_ID2001 -0.7559197  0.0564254   -13.397  < 2e-16 ***
DESTIN_GRID_ID2002 -0.7571133  0.0562718   -13.455  < 2e-16 ***
DESTIN_GRID_ID2003 -0.0957418  0.0561797    -1.704 0.088343 .  
DESTIN_GRID_ID2004  0.0613884  0.0561709     1.093 0.274444    
DESTIN_GRID_ID2005 -0.9289575  0.0564119   -16.467  < 2e-16 ***
DESTIN_GRID_ID2006 -0.0196718  0.0562031    -0.350 0.726329    
DESTIN_GRID_ID2007 -3.4532271  0.0650393   -53.094  < 2e-16 ***
DESTIN_GRID_ID2022 -0.2413019  0.0564255    -4.276 1.90e-05 ***
DESTIN_GRID_ID2023 -0.2385955  0.0562068    -4.245 2.19e-05 ***
DESTIN_GRID_ID2024  0.0888361  0.0561369     1.582 0.113537    
DESTIN_GRID_ID2025 -1.3189647  0.0564564   -23.363  < 2e-16 ***
DESTIN_GRID_ID2026 -1.9836986  0.0574439   -34.533  < 2e-16 ***
DESTIN_GRID_ID2027  0.0794034  0.0561736     1.414 0.157498    
DESTIN_GRID_ID2043 -1.6939575  0.0573789   -29.522  < 2e-16 ***
DESTIN_GRID_ID2044 -0.7416333  0.0563421   -13.163  < 2e-16 ***
DESTIN_GRID_ID2045 -1.3486263  0.0573681   -23.508  < 2e-16 ***
DESTIN_GRID_ID2046  0.0101104  0.0561227     0.180 0.857037    
DESTIN_GRID_ID2047 -1.9129633  0.0569345   -33.599  < 2e-16 ***
DESTIN_GRID_ID2048 -1.6345858  0.0567824   -28.787  < 2e-16 ***
DESTIN_GRID_ID2049 -3.3672837  0.0637015   -52.860  < 2e-16 ***
DESTIN_GRID_ID2064 -0.8558199  0.0564985   -15.148  < 2e-16 ***
DESTIN_GRID_ID2065 -0.9830578  0.0564898   -17.402  < 2e-16 ***
DESTIN_GRID_ID2066 -3.3265093  0.0676845   -49.147  < 2e-16 ***
DESTIN_GRID_ID2067  1.5571567  0.0560353    27.789  < 2e-16 ***
DESTIN_GRID_ID2068 -2.0045872  0.0580700   -34.520  < 2e-16 ***
DESTIN_GRID_ID2069 -1.4433907  0.0567768   -25.422  < 2e-16 ***
DESTIN_GRID_ID2085 -0.6616652  0.0565107   -11.709  < 2e-16 ***
DESTIN_GRID_ID2086  0.6503283  0.0561269    11.587  < 2e-16 ***
DESTIN_GRID_ID2087  0.3418799  0.0561442     6.089 1.13e-09 ***
DESTIN_GRID_ID2088 -0.9151385  0.0563215   -16.248  < 2e-16 ***
DESTIN_GRID_ID2089 -1.3927175  0.0567872   -24.525  < 2e-16 ***
DESTIN_GRID_ID2090  1.2511807  0.0560550    22.321  < 2e-16 ***
DESTIN_GRID_ID2091 -4.1458338  0.0905430   -45.789  < 2e-16 ***
DESTIN_GRID_ID2105 -1.5215766  0.0870270   -17.484  < 2e-16 ***
DESTIN_GRID_ID2106 -2.2032182  0.0581588   -37.883  < 2e-16 ***
DESTIN_GRID_ID2107  0.5208126  0.0561288     9.279  < 2e-16 ***
DESTIN_GRID_ID2108  0.1179298  0.0562113     2.098 0.035908 *  
DESTIN_GRID_ID2109 -1.3567547  0.0564672   -24.027  < 2e-16 ***
DESTIN_GRID_ID2110 -2.0168760  0.0573908   -35.143  < 2e-16 ***
DESTIN_GRID_ID2111 -3.1899384  0.0667285   -47.805  < 2e-16 ***
DESTIN_GRID_ID2128 -0.4609520  0.0566543    -8.136 4.08e-16 ***
DESTIN_GRID_ID2129 -0.7918493  0.0570905   -13.870  < 2e-16 ***
DESTIN_GRID_ID2130 -0.7544877  0.0563009   -13.401  < 2e-16 ***
DESTIN_GRID_ID2131 -0.7887161  0.0565354   -13.951  < 2e-16 ***
DESTIN_GRID_ID2132 -1.3675025  0.0566324   -24.147  < 2e-16 ***
DESTIN_GRID_ID2148 -1.3925651  0.0584883   -23.809  < 2e-16 ***
DESTIN_GRID_ID2149 -1.3470784  0.0571891   -23.555  < 2e-16 ***
DESTIN_GRID_ID2150 -1.1519052  0.0567867   -20.285  < 2e-16 ***
DESTIN_GRID_ID2151  0.6812585  0.0560839    12.147  < 2e-16 ***
DESTIN_GRID_ID2152 -0.3767310  0.0562759    -6.694 2.17e-11 ***
DESTIN_GRID_ID2153 -1.6570550  0.0573799   -28.879  < 2e-16 ***
DESTIN_GRID_ID2171 -0.1614541  0.0563139    -2.867 0.004143 ** 
DESTIN_GRID_ID2172 -1.8136799  0.0573164   -31.643  < 2e-16 ***
DESTIN_GRID_ID2173 -1.3600508  0.0565434   -24.053  < 2e-16 ***
DESTIN_GRID_ID2174 -0.6597185  0.0564178   -11.693  < 2e-16 ***
DESTIN_GRID_ID2191  0.0349026  0.0566418     0.616 0.537763    
DESTIN_GRID_ID2192 -1.1757185  0.0571779   -20.562  < 2e-16 ***
DESTIN_GRID_ID2193 -0.4855241  0.0563887    -8.610  < 2e-16 ***
DESTIN_GRID_ID2194 -0.5772496  0.0563220   -10.249  < 2e-16 ***
DESTIN_GRID_ID2195 -2.6357737  0.0695588   -37.893  < 2e-16 ***
DESTIN_GRID_ID2212  0.3924103  0.0577911     6.790 1.12e-11 ***
DESTIN_GRID_ID2213 -0.2740086  0.0567490    -4.828 1.38e-06 ***
DESTIN_GRID_ID2214  0.6264175  0.0565157    11.084  < 2e-16 ***
DESTIN_GRID_ID2215 -1.1816434  0.0569526   -20.748  < 2e-16 ***
DESTIN_GRID_ID2216 -0.2350392  0.0563390    -4.172 3.02e-05 ***
DESTIN_GRID_ID2233  0.5420208  0.0569699     9.514  < 2e-16 ***
DESTIN_GRID_ID2234  1.1527985  0.0566628    20.345  < 2e-16 ***
DESTIN_GRID_ID2235 -0.2339333  0.0568109    -4.118 3.83e-05 ***
DESTIN_GRID_ID2236 -1.6835103  0.0577471   -29.153  < 2e-16 ***
DESTIN_GRID_ID2237 -0.1584374  0.0572522    -2.767 0.005651 ** 
DESTIN_GRID_ID2256  0.0121830  0.0574721     0.212 0.832122    
DESTIN_GRID_ID2257 -2.5505370  0.0633050   -40.290  < 2e-16 ***
DESTIN_GRID_ID2258 -0.4115031  0.0564954    -7.284 3.24e-13 ***
DESTIN_GRID_ID2259  0.6279892  0.0570194    11.014  < 2e-16 ***
DESTIN_GRID_ID2277 -1.2173962  0.0620223   -19.628  < 2e-16 ***
DESTIN_GRID_ID2278 -1.0456064  0.0586792   -17.819  < 2e-16 ***
DESTIN_GRID_ID2279 -0.2190166  0.0565184    -3.875 0.000107 ***
DESTIN_GRID_ID2280 -1.5661497  0.0658190   -23.795  < 2e-16 ***
DESTIN_GRID_ID2297 -1.5180290  0.0597704   -25.398  < 2e-16 ***
DESTIN_GRID_ID2300 -1.2084605  0.0598413   -20.194  < 2e-16 ***
DESTIN_GRID_ID2301 -0.5177263  0.0569144    -9.097  < 2e-16 ***
DESTIN_GRID_ID2318  0.8559589  0.0562935    15.205  < 2e-16 ***
DESTIN_GRID_ID2319  0.7832506  0.0562798    13.917  < 2e-16 ***
DESTIN_GRID_ID2322 -0.2353616  0.0569073    -4.136 3.54e-05 ***
DESTIN_GRID_ID2337  0.1632978  0.0597609     2.733 0.006285 ** 
DESTIN_GRID_ID2341  1.0071028  0.0562664    17.899  < 2e-16 ***
DESTIN_GRID_ID2343 -1.0978315  0.0577979   -18.994  < 2e-16 ***
DESTIN_GRID_ID2361 -0.2505527  0.0568763    -4.405 1.06e-05 ***
DESTIN_GRID_ID2364 -2.3271081  0.0667987   -34.838  < 2e-16 ***
DESTIN_GRID_ID2379 -1.0610675  0.0631045   -16.814  < 2e-16 ***
DESTIN_GRID_ID2384  0.8417938  0.0564273    14.918  < 2e-16 ***
DESTIN_GRID_ID2405  1.6147145  0.0562218    28.720  < 2e-16 ***
DESTIN_GRID_ID2406 -1.4182461  0.0610475   -23.232  < 2e-16 ***
DESTIN_GRID_ID2426  1.0411268  0.0571498    18.218  < 2e-16 ***
DESTIN_GRID_ID2427  1.3042126  0.0564316    23.111  < 2e-16 ***
DESTIN_GRID_ID2505  0.7588019  0.0596962    12.711  < 2e-16 ***
log(dist)          -1.5867425  0.0003232 -4910.023  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 80378356  on 62117  degrees of freedom
Residual deviance: 20588400  on 60483  degrees of freedom
AIC: 20927016

Number of Fisher Scoring iterations: 9

Conclusion and limitations

Four Spatial Interaction Models were built and compared to find out the important factors influencing the commuter flow in the Weekday Morning peak period. The R-squared values for the UNC, ORC, DEC and DBC models are 0.24, 0.38, 0.37 and 0.59 respectively. From the UNC and ORC models, the significant factors affecting commuter flow are distance (negative relationship), destination MRT station exits count and destination school count (in order of highest influence first). From the DEC model, the significant factors are distance and 5room flat dwellers count.

When the outliers were removed, the R-squared value of the new DBC model increased to 0.61. Possible reason why the model could not predict flow of bus stops near Woodlands Checkpoint region could be that the number of people commuting between JB and Singapore daily for work purpose is really too huge and concentrated over Woodlands. We are also lacking the work opportunities information in JB side for model to predict properly.

With the models created, possible ‘what-if’ scenarios can be simulated; take for instance what if there are new MRT stations / development of a new residential town in the future? The models could predict new flows patterns and assist transport authority to plan ahead.

Limitations of this exercise would include:

  1. The Passenger Volume by Origin Destination Bus Stops data used do not included any transfer trip information. With our attractive and propulsive attributes, we can only assume that passengers take only 1 bus trip from source to their intended destination. With the inclusion of the MRT train station exits locations, we factor in the possibility of passenger commuting to MRT station for transfer.
  2. The population density distribution of Residents could only be estimated from the HDB.csv and not directly taken from the Resident Distribution by single age and subzone dataset because we have reduced our basic spatial unit to 750m hexagons instead of subzone (to reduce social-economic and spatial aggregation errors). Now, each hexagon could have a mix of 7 subzones inside it, thus use of Resident Distribution by single age and subzone dataset is inappropriate (otherwise we could have achieved better results).

Acknowledgement

I would like to extend my heartfelt gratitude to Prof Kam for being an exceptional instructor and mentor throughout all his courses that I have attended. His dedication, patience, and generosity in sharing knowledge have made a profound impact on my MITB journey. Thank you!

References

Tin Seong Kam. “2 Choropleth Mapping with R” From R for Geospatial Data Science and Analytics https://r4gdsa.netlify.app/chap02

Tin Seong Kam. “15 Processing and Visualszing Flow Data” From R for Geospatial Data Science and Analytics https://r4gdsa.netlify.app/chap15

Tin Seong Kam. “In-Class Exercise 4: Preparing Spatial Interaction Modelling Variables” https://isss624.netlify.app/in-class_ex/in-class_ex4/in-class_ex4-gds#data-integration-and-final-touch-up